The focus in this thesis is on the calculations of an empirical null distributionfor likelihood ratio tests testing either separable or double separable covariancematrix structures versus an unstructured covariance matrix. These calculationshave been performed for various dimensions and sample sizes, and are comparedwith the asymptotic χ2-distribution that is commonly used as an approximative distribution. Tests of separable structures are of particular interest in cases when data iscollected such that more than one relation between the components of the observationis suspected. For instance, if there are both a spatial and a temporalaspect, a hypothesis of two covariance matrices, one for each aspect, is reasonable.

Submitted by Lenieze Lira (leniezeblira@gmail.com) on 2016-08-01T14:34:07Z No. of bitstreams: 1 Dissertação - Raimundo N. V. de Oliveira.pdf: 1180188 bytes, checksum: c115f87106ecc3e857d9523454d71ff4 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2016-08-19T15:47:13Z (GMT) No. of bitstreams: 1 Dissertação - Raimundo N. V. de Oliveira.pdf: 1180188 bytes, checksum: c115f87106ecc3e857d9523454d71ff4 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2016-08-22T12:47:49Z (GMT) No. of bitstreams: 1 Dissertação - Raimundo N. V. de Oliveira.pdf: 1180188 bytes, checksum: c115f87106ecc3e857d9523454d71ff4 (MD5) / Made available in DSpace on 2016-08-22T12:47:49Z (GMT). No. of bitstreams: 1 Dissertação - Raimundo N. V. de Oliveira.pdf: 1180188 bytes, checksum: c115f87106ecc3e857d9523454d71ff4 (MD5) Previous issue date: 2016-03-11 / CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this present work, we study the “no validity” of Peano Theorem of Weak Form in Banach spaces with separable quotient of infinite dimension, in a more precise way, we show that if X is a Banach space with the quotient separable infinite-dimensional, then there is a continuous map f : X ! X such that autonomous differential equation x0 = f(x) has no solution at any point. / Neste presente trabalho, faremos o estudo da “não validade” da Forma Fraca do Teorema de Peano em espaços de Banach com quociente separável de dimensão infinita ou, de uma forma mais precisa, mostraremos que se X é um espaço de Banach com quociente separável de dimensão infinita, então existe uma aplicação contínua f : X ! X tal que a equação diferencial autônoma x0 = f(x) não tem solução em qualquer ponto.

Machine vision is hot research topic with findings being published at a high pace and more and more companies currently developing automated vehicles. Robotic lawn mowers are also increasing in popularity but most mowers still use relatively simple methods for cutting the lawn. No previous work has been published on machine learning networks that improved between cutting sessions by automatically collecting data and then used it for training. A data acquisition pipeline and neural network architecture that could help the mower in avoiding collision was therefor developed. Nine neural networks were tested of which a convolutional one reached the highest accuracy. The performance of the data acquisition routine and the networks show that it is possible to design a object detection model that improves between runs.

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Объектом исследования являются методы машинного обучения, позволяющие фильтровать данные, и методы разработки информационных платформ. Фильтрация данных подобного типа применяется в такой области, как поисковые системы, чтобы на основе запроса выдать пользователю релевантные результаты. Предмет исследования – разработка модели машинного обучения, фильтрующей текстовые данные, и информационной платформы для отображения отфильтрованных данных. Особенностями исследования являются открытая реализация полного проекта, то есть она доступна каждому, и возможность его модификации. Для обучения модели был использован самостоятельно составленный набор научных работ, информационная платформа была разработана с нуля. Итоговая модель LSTM, выбранная методом сравнения метрик, показала результат предсказания соответствия целевой тематике в 90%, что позволяет говорить о ее возможном внедрении в соответствующие Интернет-ресурсы, так как они гарантированно уменьшат объем научных работ, проверяемых вручную. / The object of the research is machine learning methods that allow filtering text data obtained from the information platform. Filtering of this type of data is used in such an area as search engines to give relevant results to the user based on a query. Within the framework of this dissertation, it was proposed to apply machine learning methods to filter a set of scientific papers based on their title and target label in the form of the subject of the work. The features of the study are the open implementation of the full project, that is, it is available to everyone, and the possibility of its modification. A self-compiled set of scientific papers was used to train the model, the information platform was developed from scratch. The final LSTM model, chosen by the method of comparing metrics, showed the result of predicting compliance with the target topic in 95%, which allows us to talk about its possible implementation in the relevant Internet resources, since they are guaranteed to reduce the volume of scientific papers checked manually.

[ES] Desde el comienzo de la Teoría de Espacios de Banach, el estudio de los subespacios complementados y no complementados ha sido uno de los principales temas del área. Específicamente, en espacios de Banach no separables, han habido grandes esfuerzos en construir un marco teórico para describir la estructura de subespacios linealmente complementados en espacios de Banach. Concepctos clásicos como la Propiedad del Complemento Separable, Resoluciones Proyectivas de la Identidad, y la Propiedad de Plichko han sido y continúan siendo estudiadas en esta disciplina. En igual medida, las aplicaciones de Lipschitz en espacios de Banach también han jugado un papel importante en el desarrollo de la teoría. Cuestiones como la clasificación de Lipschitz de los espacios de Banach, la diferenciabilidad de las funciones de Lipschitz, o la existencia de retracciones de Lipschitz a subconjuntos y subespacios de espacios de Banach, son líneas de investigación activas con abundantes resultados y aplicaciones. En esta tesis analizamos la estructura de retractos de Lipschitz en espacios métricos y espacios de Banach no separables, de forma análoga a la teoría de complementación lineal en espacios de Banach. También discutimos la conexión de este tema con el progreso actual en el estudio de la estructura de los espacios de Lipschitz-free, y con el problema de la existencia de operadores de extensión lineales para funciones de Lipschitz. En primer lugar, generalizamos algunas herramientas clásicas de la teoría lineal al marco no lineal: Definimos el concepto de esqueletos retractivos de Lipschitz como una generalización a los esqueletos proyectivos. Como aplicación de estas nociones, demostramos que el espacio de Lipschitz-free asociado a un espacio de Banach con la propiedad de Plichko tiene a su vez la propiedad de Plichko. Utilizamos también los esqueletos retractivos de Lipschitz para caracterizar aquellos espacios métricos cuyo espacio de Lipschitz-free tiene la propiedad de Plichko con medidas de Dirac, y mostramos que el espacio de Lipschitz-free asociado a cualquier R-árbol es 1-Plichko con moléculas elementales. A continuación, pasamos a definir la Propiedad del Retracto de Lipschitz (α, β) (o la Lipschitz RP(α, β)) para un par de cardinales infinitos α ≤ β. Esta es la propiedad no lineal análoga a la clásica Propiedad del Complemento. Observamos que los espacios C(K) tiene la Lipschitz RP(ℵ0, ℵ0), lo cual implica que sus espacios de Lipschitz-free asociados poseen la Propiedad del Complemento Separable. Siguiendo con el estudio previo, construimos, para cada cardinal infinito Λ, un espacio métrico completo sin la Lipschitz RP(Λ, Λ)). En el caso numerable, podemos mejorar este resultado produciendo un espacio métrico completo que satisface una propiedad más fuerte que la negación de la Lipschitz RP(ℵ0, ℵ0): Todo subconjunto separable con almenos dos puntos no es un retracto de Lipschitz. Finalmente, generalizamos un resultado de Heinrich y Mankiewicz al marco no lineal al mostrar que en cada espacio métrico M, todo subconjunto está contenido en otro subconjunto con el mismo carácter de densidad que además admite un operador lineal de extensión de funciones Lipschitz. / [CA] Des del principi de la Teoria d'Espais de Banach, l'estudi dels subespais complementats i no complementats ha estat un dels principals temes de l'àrea. Específicament, en espais de Banach no separables, hi ha hagut un gran esforç de construir un marc teòric per descriure l'estructura de subespais linealment complementats en espais de Banach. Conceptes clàssics com la Propietat del Complement Separable, Resolucions Projectives de la Identitat, i la Propietat de Plichko han estat i continuen sent estudiades en aquesta disciplina. En igual mesura, les aplicacions de Lipschitz en espais de Banach també han jugat un paper important en el desenvolupament de la teoria. Qüestions com la classificació de Lipschitz dels espais de Banach, la diferenciabilitat de les funcions de Lipschitz, o l'existència de retraccions de Lipschitz a subconjunts i subespais d'espais de Banach, són línies d'investigació actives amb abundants resultats i aplicacions. En aquesta tesi analitzem l'estructura de retractes de Lipschitz en espais mètrics i espais de Banach no separables, de manera anàloga a la teoria de complementació lineal en espais de Banach. També discutim la connexió d'aquest tema amb el progrés actual en l'estudi de l'estructura dels espais de Lipschitz-free, i amb el problema de l'existència d'operadors d'extensió lineals per a funcions de Lipschitz. En primer lloc, generalitzem algunes eines clàssiques de la teoria lineal al marc no lineal: Definim el concepte d'esquelets retractius de Lipschitz com una generalització dels esquelets projectius. Com aplicació d'aquestes nocions, demostrem que l'espai de Lipschitz-free associat a un espai de Banach amb la propietat de Plichko té la propietat de Plichko. Utilitzem també els esquelets retractius de Lipschitz per a caracteritzar aquells espais mètrics que generen espais de Lipschitz-free amb la propietat de Plichko amb mesures de Dirac, i mostrem que l'espai de Lipschitz-free associat a qualsevol R-arbre és 1-Plichko amb molècules elementals. A continuació, passem a definir la Propietat del Retracte de Lipschitz (α, β) (o la Lipschitz RP(α, β)) per a un parell de cardinals infinits α ≤ β. Aquesta és la propietat no lineal anàloga a la clàssica Propietat del Complement. Observem que els espais C(K) tenen la Lipschitz RP(ℵ0, ℵ0), la qual cosa implica que els espais de Lipschitz-free associats posseeixen la Propietat del Complement Separable. Seguint amb l'estudi previ, construïm, per a cada cardinal infinit Λ, un espai mètric complet sense la Lipschitz RP(Λ, Λ). En el cas numerable, podem millorar aquest resultat produint un espai mètric complet que satisfà una propietat més forta que la negació de la Lipschitz RP(ℵ0, ℵ0): Tot subconjunt separable amb almenys dos punts no és un retracte de Lipschitz. Finalment, generalitzem un resultat de Heinrich i Mankiewicz al marc no lineal al demostrar que en cada espai mètric M, tot subconjunt està contingut en altre subconjut amb el mateix caràcter de densitat que a més admet un operador lineal d'extensió de funcions Lipschitz. / [EN] Since the inception of Banach Space Theory, the study of complemented and uncomplemented subspaces of Banach spaces has been one of the main themes of the area. Specifically, in non-separable Banach spaces, there have been many efofrts in constructing a theoretical framework to describe the linear complementation structure of Banach spaces. Classical concepts such as the Separable Complementation Property, Projectional Resolutions of the Identity, and the Plichko Property have been and continue to be studied in this area. Similarly, Lipschitz maps between Banach spaces have also played a main role in the development of the theory. Questions such as the Lipschitz classification of Banach spaces, difefrentiability of Lipschitz maps, or the existence of Lipschitz retractions onto subsets and subspaces of Banach spaces, have been and continue to be active topics of research with a wealth of results and applications. In this thesis we analyse the Lipschitz retractional structure of non-separable metric and Banach spaces, as an analogous theory to the linear complementation one in Banach spaces. We also discuss the connection of this topic with the ongoing program to study the structure of Lipschitz-free Banach spaces, and to the problem of finding bounded linear extension operators for Lipschitz functions. First, we generalize some classical tools of the linear theory to the non-linear setting: We define the concept of Lipschitz retractional skeletons as a generalization of Projectional skeletons. As applications of these concepts, we show that the Lipschitz-free space of a Plichko Banach space is again Plichko. We also use Lipschitz retractional skeletons to characterize metric spaces whose Lipschitz-free spaces enjoy the Plichko property witnessed by Dirac measures, and we show that the Lipschitz-free space of any R-tree is 1-Plichko witnessed by molecules. Next, we pass on to defining the (α, β) Lipschitz Retraction Property (Lipschitz RP(α, β) for short) for a pair of infinite cardinals α ≤ β. These are the non-linear analogues to the classical Complementation Properties. We observe that C(K) spaces enjoy the Lipschitz RP(ℵ0, ℵ0), which in turn implies that their associated Lipschitz-free space satisfy the Separable Complementation Property. As a continuation of the previous study, we construct, for every infinite cardinal Λ, a complete metric space which fails the Lipschitz RP(Λ, Λ). In the countable case, we are able to produce a complete metric space, called the skein space, with a stronger property than the negation of the Lipschitz RP(ℵ0, ℵ0): Every separable subset of the skein space with at least two points fails to be a Lipschitz retract. Finally, we generalize a result of Heinrich and Mankiewicz to the non-linear setting, by showing that for any metric space M, every subset is contained in another subset of the same density character which admits a bounded linear extension operator for the space of Lipschitz functions. / Quilis Sandemetrio, A. (2023). Lipschitz Structure of Metric and Banach Spaces [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/200447

The heart of Pentecostal practice has always been an experience of the Holy Spirit. These experiences are often claimed to have the direct guidance of the Spirit and form the decisions and actions that result in the ongoing of the development of practices and doctrine. It is my contention that the third and fourth so-called waves of the Spirit are not truly waves of the Spirit, neither are they new. They are the rebirth, albeit in a new manner, of three disappointing and tragic movements of past Pentecostal history, namely the (New) Latter Rain, the Shepherding Movement, and the Prosperity Movement. I maintain that these two waves do not follow a solid Pentecostal doctrinal stand of an experience in the Holy Spirit of separability and subsequence, neither do they draw their doctrinal stand from the book of Acts, but rather the Synoptic gospels. Unfortunately, even though Pentecostal scholarship is on the rise, the majority of the prolific writers of these last two waves are extremely eisegetical in regards to their dealing with the Word of God. They claim vision and direction from Heaven, as opposed to an exegesis of the canon of Scripture. I maintain that these two, so called waves of the Spirit are not Heaven sent but man conceived and thus dangerous heresy to the church. `I believe that courage is the most important virtue, the foundation that underlies and gives realty to all other virtues and personal values. Without courage we become conformists. Conformity is not the fibre good and courageous leaders are made of… Do not be frightened by the aloneness that may come with your holding unpopular positions. It is in aloneness that wisdom will visit you and smile upon you'. These are not, as a theologian might be entitled to expect, the words of Elijah or Jeremiah. They are quoted from a speech given in 1999 by Mamphela Ramphele, vice chancellor of the University of Cape Town. Her context was the silence that has so often fallen on African societies once liberation has taken place. It is just such silent acquiescence, she insists, that allow former `heroes of the struggle' to become despots and dictators. Her words are challenging to Pentecostal theologians for at least two reasons. The first and more mundane is that Pentecostalism is most vibrant today in precisely those countries, which can be termed `postcolonial'. The second, and to my mind the most relevant to the movement, is that Pentecostalism was at its beginning a powerful spiritual force because it inherited an ethos of radical difference and because its proponents were unflinching in refusing to be co-opted into any other agenda than the one for which they knew they had been empowered by the Spirit of Jesus Christ. In this sense it was a prophetic religion, a religion similar to that of Elijah and Jeremiah. It is my plea then in this presentation that the so-called `postcolonial' countries will not swallow this new error, which has been called the new Pentecostal rhema from Heaven, which stems, as do so many new theological trends from the Western world. The new emerging Pentecostal Charismatic churches, particularly of the Third World need to have the courage not to be conformists, for such is not the fiber good and courageous leaders have. The hermeneutical pneumatology of the Pentecostal tradition has always been questioned. The early Pentecostals did not even bother to develop a theological hermeneutical position of a subsequent experience of the Spirit; they accepted their experience as from God . When they did begin to develop a Pentecostal theology it was often ridiculed as being primarily experiential, thus in the minds of most, devoid of Biblical theology. Fifty years after the outpouring of the Spirit at Azusa Street many Pentecostal scholars began to re-examine the pneumatology of Luke's writing. In the latter part of the 20th Century many Pentecostal scholars came into their own, examining and challenging many of the previously accepted conclusions of theologians, in regards to the Classical Pentecostal doctrinal position . Their position was that there was a separable and subsequent experience of the Spirit following salvation, which was accompanied by the initial evidence of speaking with other tongues. The initial evidence was for a few, and still is for some, questionable evidence. Such a position stood in opposition to those who declared that there was no second experience of the Holy Spirit for any person other than salvation. If those who believed in the `conversion-initiation, which included the baptism in the Holy Spirit' were indeed correct, then everything that Luke talks about in relation to pneumatology in his two-volume work is totally in relation to salvation. This was the theological pneumatological position prior to Classical Pentecostalism. It did and has resulted in many theological challenges. Scholars who take this position do so on the premise that Pentecost is more of a historical situation for the church. However scholars convinced of the Classical Pentecostal position are refusing to accept this position and have and are continuing to develop an exegetical position for a secondary work of the Holy Spirit in a person's life. This is my personal position made vitally real for me since I did not grow up in a Pentecostal church setting, but rather came into the Pentecostal experience in my early 20's. It is my contention that the theological impact of Christ's ascension prior to the public ascension witnessed in Acts 1 has not been fully examined. Few scholars have dealt with the typological fulfillment firstly, of the work of the High Priest as seen completed in the life of Jesus Christ, or secondly, of His fulfillment of the first four feasts which the Jews were commanded to keep. Both of these aspects very clearly enhance and form a clear indication that the classical Pentecostal theology was and is correct in speaking of a separable and subsequent work of the Spirit following a clear salvation experience. I will seek to elucidate this by an examining the historical background of the first two waves of the Spirit, followed by a preview of the work of the Holy Spirit as seen in the canon of Scripture with emphasis on the New Testament. I will follow this by the development of the idea of regeneration in the New Testament. Finally I will examine Lukan writing in regards to the experience known as the baptism of the Holy Spirit. These chapters will then serve as a base for comparison with the material, which will follow. In the late 20th and early 21st century the Classical Pentecostal doctrine has been challenged by the last two charismatic waves of the Spirit, both of which have spawned a plethora of writings. It is my contention first; that the traditional Pentecostal understanding of the authority of Scripture has been abandoned in that now experience takes precedence over Scripture. Secondly it is clear that these last two waves do not fall within the same parameters as the first two waves in their understanding of a doctrine of separability and subsequence, since they revert to a pre-Classical Pentecostal theological position of only one experience of the Holy Spirit. Thirdly, in a day when Pentecostal scholarship is seeking to become acceptable in their exegesis, the authors of these waves are almost totally eisegetical. The question needs to be asked `Have they subtly taken on a title to glean a following?' It is thus my contention that a survey of these waves shows that they have no common ground with the initial two waves of the Spirit. The indication is that they have deliberately chosen a different Biblical basis and thus disqualify themselves from the Pentecostal Charismatic stream. I will seek to elucidate this by examining the historical background of the last two waves of the Spirit, followed by an examination of the Pentecostal hermeneutic and their lack of hermeneutics, as seen so clearly in their writings. This will be done by pointing out the comparisons to the latter two waves of the Spirit both in theory and in the voluminous writing, which are largely based on eisegesis. The stated desire to `have church without making anyone sick' has broached and taken the movements far into left field. Finally, it is my contention that the third and fourth waves of the Spirit are not new at all. They are simply a rebirth of three disappointing and tragic movements in Pentecostal history. Thus I hope to clearly substantiate that the third and fourth wave of the Spirit are not really waves of the Spirit at all. They are not such in terms of their Biblical theological basis, neither are they such exegetically. They are simply the result of those desirous of the moving of the Holy Spirit who have reached back into the past and reintroduced past aspects of renewal, which unfortunately were man centered and resulted later in much havoc among Christians. I will seek to elucidate these facts by an examination of the history and practice of the (New) Latter Rain, which still haunts Saskatchewan, Canada where tragedies still exist, and the Shepherding movement out of Florida, which after a few years was denounced even by the leaders and finally totally disbanded. Then, finally the Prosperity Movement, which rose and fell as an unacceptable, illegitimate deduction of so called truth of the canon. One hopes and prays that the tragedies in lives will not live to haunt the church if Jesus tarries. We do not want the "heroes of spiritual struggles" to become the despots and dictators of the Pentecostal churches in the Third World. / Christian Spirituality, Church History and Missiology / D.Th. (Church History)

This thesis focuses on the equity premium puzzle, risk-free rate puzzle and possible solutions of these two quantitative conundrums. Original formulation of both puzzles is introduced and comprehensive literature survey is presented to show the developments regarding this topic. These include risk-based explanations, non-risk based explanations and behavioral finance perspective. Main contribution of this study dwells in estimation of these two puzzles for the Czech Republic. Using consumption-based asset pricing model with time separable preferences, presence of the two puzzles is estimated employing annual Czech data from 1995 to 2011. The equity premium puzzle is not present in the Czech Republic, as the coefficient of risk aversion 5.57  . On the other hand, the risk-free rate puzzle is as severe as in developed economies. Furthermore, the individual time preference parameter  is estimated to be larger than one - a counterintuitive result suggesting consumers prefer unit of consumption tomorrow to unit of consumption today. Robustness of the results is confirmed when different proxy for a risk-free rate is used. Results do not change significantly and the risk-free rate puzzle persists. Direction for future research of the financial market puzzles in the Czech Republic is suggested.

Neste trabalho consideramos um método de construções genéricas de espaços compactos e dispersos não-metrizáveis, desenvolvido por Baumgartner, Shelah, Rabus, Juhasz e Soukup. Introduzimos novas técnicas e obtemos novas aplicações relevantes tanto para a topologia dos espaços compactos quanto para a geometria dos espaços de Banach de funções contínuas. As novas técnicas dizem respeito a novas amalgamações de condições do forcing que adiciona os espaços dispersos, bem como a generalizações dos argumentos dos autores acima citados de pontos de um espaço compacto K para medidas de Radon sobre K. Como aplicações, obtemos dois novos espaços compactos e dispersos K_1 e K_2, com as propriedades abaixo. K_1 é um espaço hereditariamente separável de peso aleph_1 tal que C(K_1) possui a propriedade (C) de Corson e não possui a propriedade (E) de Efremov. K_2 é o primeiro exemplo de um espaço compacto disperso, hereditariamente separável, de altura omega_2. Segue que o grau de Lindelöf hereditário de K_2 é aleph_2, mostrando a consistência de que hL(K) é estritamente maior que o sucessor de hd(K) para espaços compactos K. C(K_2) é o primeiro exemplo consistente de um espaço de densidade aleph_2 que não possui um sistema biortogonal não-enumerável. / In this work we consider a method of generic constructions of compact scattered non-metrizable spaces developed by Baumgartner, Shelah, Rabus, Juhasz and Soukup. We introduce new techniques and obtain new applications both relevant to topology of compact spaces and the geometry of Banach spaces of continuous functions. The new techniques concern new amalgamations of conditions of forcing which add the dispersed spaces as well as the generalizations of arguments of the above-mentioned authors from points of a compact space K to Radon measures on K. As applications we obtain two compact scattered spaces K_1 and K_2 with the properties below. K_1 is a hereditarily separable space of weight aleph_1 such that C(K_1) has property (C) of Corson and does not have property (E) of Efremov. K_2 is the first (consistent) example of a compact scattered space which is hereditarily separable and whose height is omega_2. It follows that its hereditary Lindelöf degree is aleph_2, showing the consistency of hL(K) can me strictly greater than the successor of hd(K) for compact spaces K. C(K_2) is the first consistent example of a Banach space of density aleph_2 without uncountable biorthogonal systems.

Neste trabalho consideramos um método de construções genéricas de espaços compactos e dispersos não-metrizáveis, desenvolvido por Baumgartner, Shelah, Rabus, Juhasz e Soukup. Introduzimos novas técnicas e obtemos novas aplicações relevantes tanto para a topologia dos espaços compactos quanto para a geometria dos espaços de Banach de funções contínuas. As novas técnicas dizem respeito a novas amalgamações de condições do forcing que adiciona os espaços dispersos, bem como a generalizações dos argumentos dos autores acima citados de pontos de um espaço compacto K para medidas de Radon sobre K. Como aplicações, obtemos dois novos espaços compactos e dispersos K_1 e K_2, com as propriedades abaixo. K_1 é um espaço hereditariamente separável de peso aleph_1 tal que C(K_1) possui a propriedade (C) de Corson e não possui a propriedade (E) de Efremov. K_2 é o primeiro exemplo de um espaço compacto disperso, hereditariamente separável, de altura omega_2. Segue que o grau de Lindelöf hereditário de K_2 é aleph_2, mostrando a consistência de que hL(K) é estritamente maior que o sucessor de hd(K) para espaços compactos K. C(K_2) é o primeiro exemplo consistente de um espaço de densidade aleph_2 que não possui um sistema biortogonal não-enumerável. / In this work we consider a method of generic constructions of compact scattered non-metrizable spaces developed by Baumgartner, Shelah, Rabus, Juhasz and Soukup. We introduce new techniques and obtain new applications both relevant to topology of compact spaces and the geometry of Banach spaces of continuous functions. The new techniques concern new amalgamations of conditions of forcing which add the dispersed spaces as well as the generalizations of arguments of the above-mentioned authors from points of a compact space K to Radon measures on K. As applications we obtain two compact scattered spaces K_1 and K_2 with the properties below. K_1 is a hereditarily separable space of weight aleph_1 such that C(K_1) has property (C) of Corson and does not have property (E) of Efremov. K_2 is the first (consistent) example of a compact scattered space which is hereditarily separable and whose height is omega_2. It follows that its hereditary Lindelöf degree is aleph_2, showing the consistency of hL(K) can me strictly greater than the successor of hd(K) for compact spaces K. C(K_2) is the first consistent example of a Banach space of density aleph_2 without uncountable biorthogonal systems.