Neste trabalho estudamos a existência e a multiplicidade de soluções clássicas positivas para uma classe de problemas de quarta-ordem sob a condição de fronteira de Navier, relacionando o número de soluções com a topologia do domínio, mais precisamente, com sua categoria de Lusternik-Schnirelman. Introduzimos também uma noção de regiões crítica e não-crítica associadas a um de nossos problemas, a fim de garantir condições para existência de solução / In this work we study the existence and multiplicity of positive classical solutions for a class of fourth-order problems under Navier boundary condition, relating the number of solutions to the domain topology, more specifically, to its Lusternik-Schnirelman category. We also introduce the notion of critical and noncritical regions related to one of our problems, in order to ensure conditions to existence of solutions

Nesta tese abordaremos dois tipos de problemas relacionados aos célebres Teorema da Fibração de Milnor e Teorema da Fibração de Milnor-Lê para o caso real com valores críticos não isolados. Primeiramente, asseguramos fibrações do tipo Milnor-Lê para F : (Xm, 0) &rarr; (Yn, 0), germe de aplicação subanalítico com X e Y espaços subanalíticos sobre C \\ {0} uma curva subanalítica conexa em Y e sobre um subespaço analítico suave W &sub; Y de dimensão p, n &ge; p &ge; 2, sob algumas condições. Em particular, mostramos a existência das fibrações sobre o discriminantes de germe de aplicações subanalíticos, caso esse ainda não estudado na literatura, normalmente o conjunto dos valores críticos são desconsiderados. Finalizando nossa análise da categoria subanalítica, certificamos que existe a fibração de Milnor-Lê para f : (X, 0) &rarr;(Rp, 0), com dimensão de X maior que p &ge; 2, subanalítica e X subanalítico com valores críticos não isolados, definindo d-regularidade. Abordamos estes problemas utilizando resultados de campos de vetores rugosos. Em uma segunda etapa apresentamos um novo critério necessário e suficiente para verificar a importante propriedade de transversalidade de um germe de aplicação real f de classe Cl, l &ge; 1. Fazendo uso também de uma recente ferramenta desenvolvida, a D-regularidade, verificamos condições para a existência das fibrações do germe de aplicação &Psi; F, X : (Cn, 0) &rarr; (C, 0) não holomorfo, dado por &Psi; (z, z&#772;) = &Sigma;nj=1 kjtjzj a<sub<jzj bj, aj, bj &ge; 0 com aj = bj para pelo menos um j e aj &ne; bj para ao menos um j, com j = 1, ... , n. Observamos que &Psi;F, X são polinômios homogêneos pesados mistos com R+ -ação. Consideramos &Psi;F, X : (R2n ,0) &rarr; (R2, 0) germe de aplicação analítico real. Estudamos a topologia dessas fibrações nos reais, constatando que o discriminante tem dimensão 1 e por isso tem ambas as fibrações conhecidas. Por fim exibimos um homeomorfismo entre as fibras dos valores regulares e dos valores críticos. / In this thesis two types of problems related to the famous Milnor Fibration Theorem and Milnor-Lê Fibration Theorem for the real case with non-isolated critical values will be addressed. Primarily, we assure the fibrations of type Milnor-Lê for the germ F : (X, 0) &rarr; (Y, 0) subanalytic with X and Y subanalytic spaces on C \\ {0} a subanalytic connected curve in Y and over a smooth analytical subspace W &sub; Y of dimension p, n &ge p &ge; 2, under some conditions. In particular, we show the existence of the fibrations about the discriminants of subanalytical map-germ, if this not been studied in the literature, usually the set of critical values are disregarded. Finalizing our analysis of this subanalytic category, we certify that there exist the fibrations of type Milnor-Lê to f : (X, 0) &rarr; (Rp, 0), with dimension of X greater than p &ge; 2, subanalytic and X subanalytic with non-isolated critical values, setting d -regularity. We address these problems using results of the rugose vector fields. In a second part, we present a new necessary and sufficient criterion to verify the important transversality property of a real map-germ f of class Cl, l &ge; 1. Using a recent developed tool, D-regularity, we verify conditions for the existence of the fibrations of map-germ &Psi; F, X : (Cn, 0) &rarr; (C, 0) non holomorphic, given by &Psi; (z, z&#772;) = &Sigma;nj=1 kjtjzj ajzb<sup<j, aj, bj &ge; 0 with aj = bj for at least one j and aj &ne; bj for at leeast one j = 1, ..., n. We note that &Psi; F, X are mixed weighted homogeneous polynomials with R+-action. We consider &Psi;F, X : (R2n, 0) &rarr; (R2, 0) real analytic map-germ. We studied the topology of these fibrations, noting that the discriminant has dimension 1 and therefore has both the fibrations known. Lastly we show a homeomorphism between the fibers of the regular values and the critical values for a case special this family.

Orientadores: Marcelo Esteban Coniglio, Carlos Caleiro / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Filosofia e Ciencias Humanas / Made available in DSpace on 2018-08-04T00:28:23Z (GMT). No. of bitstreams: 1 Bueno-Soler_Juliana_M.pdf: 944055 bytes, checksum: 560404307eedeebf3b45f7ca82f30d78 (MD5) Previous issue date: 2004 / Mestrado / Filosofia / Mestre em Filosofia

Submitted by Maria Beatriz Vieira (mbeatriz.vieira@gmail.com) on 2017-03-03T15:08:57Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) dissertacao_silvio_bueno_paulikevis.pdf: 429329 bytes, checksum: e990045e878260218f1a34a5dabc8e62 (MD5) / Approved for entry into archive by Aline Batista (alinehb.ufpel@gmail.com) on 2017-03-09T17:57:26Z (GMT) No. of bitstreams: 2 dissertacao_silvio_bueno_paulikevis.pdf: 429329 bytes, checksum: e990045e878260218f1a34a5dabc8e62 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Aline Batista (alinehb.ufpel@gmail.com) on 2017-03-09T17:58:23Z (GMT) No. of bitstreams: 2 dissertacao_silvio_bueno_paulikevis.pdf: 429329 bytes, checksum: e990045e878260218f1a34a5dabc8e62 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-03-09T17:58:38Z (GMT). No. of bitstreams: 2 dissertacao_silvio_bueno_paulikevis.pdf: 429329 bytes, checksum: e990045e878260218f1a34a5dabc8e62 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2014-08-15 / Sem bolsa / O presente trabalho teve como objetivo realizar um levantamento do tamanho da indústria de sementes de soja, bem como as cultivares e tratos culturais utilizados. Foi empregado um questionário com dez perguntas fechadas e duas abertas, aplicadas via telefone, aos agricultores do município de Pedra Preta – MT, totalizando oito entrevistas, das dez empresas cadastradas no Ministério da Agricultura Pecuária e Abastecimento (MAPA). As entrevistas ocorreram no período de fevereiro a abril de 2014. Conclui-se que o negócio semente de soja é amplo a ponto de ter empresas cultivando mais de 50 mil hectares, além de conseguir observar que as cultivares mais utilizadas são transgênicas. Observou- se que 88% das empresas realizam semeadura na safrinha, utilizando cultivares de ciclos precoce e semi-precoce, totalizando 63% da área cultivada. / This study aimed to survey the size of the seed soybean industry as well as cultivars and used cultural treatments. Was employee a questionnaire with ten closed questions and two open, applied via telephone, farmers in the of Pedra Preta city – MT, totaling eight interviews, of ten companies registered at the Ministry of Agriculture Livestock and Supply (MAPA). The interviews took place in the period from February to April 2014. It is concluded that the soybean seed business is broad as to have companies cultivating more than 50 thousand hectares and to observe that the most used cultivars are transgenic. It was observed that 88% of companies in the crop sowing off-season, using cultivars of early cycles and semi-early, totaling 63% of the cultivated area.

Semantic typology and categorization are important fields of research in linguistics. The aim of our work is to inspect these fields in regard to bilingualism. In this thesis we examine semantic categorization of body parts among four different groups of people: monolingual English speakers, monolingual Russian speakers, bilingual Russian speakers answering in English and bilingual Russian speakers answering in Russian. The hierarchies, ambiguities in naming patterns and homology were in the center of this study. The groups were also compared to each other in order to observe the effects of the first language learned (L1) and the second language learned (L2) on bilinguals. The results showed that Russian L1 bilinguals answering the Russian questionnaire displayed the same results as the Russian monolinguals, indicating a lack of influence from the L2. The Russian L1 bilinguals answering the English questionnaire used a semantic categorization most similar to their L1 and also demonstrated a broadening of the semantic categories related to neither the L1 nor the L2.

Le but de cette thèse est l'étude, d'un point de vue fonctoriel, des K-théories de Morava modulo 2 des 2-groupes abéliens élémentaires. Autrement dit, nous étudions les foncteurs covariants $V \mapsto K(n)^*(BV^{\sharp})$ pour le premier p=2 et n un entier positif.Le cas n=1, qui résulte directement du travail d'Atiyah sur la K-théorie topologique, nous donne un foncteur coanalytique qui ne possède aucun sous-foncteur polynomial non-constant. Il est très différent du cas n>1, où les foncteurs mentionnés ci-dessus s'avèrent être analytiques.La théorie de Henn-Lannes-Schwartz fournit une correspondance entre les foncteurs analytiques et les modules instables sur l'algèbre de Steenrod. Nous déterminons le module instable correspondant au foncteur analytique $V \mapsto K(2)^*(BV^{\sharp})$, en étudiant la relation entre ce foncteur et la structure d'anneau de Hopf de l'homologie de l'omega-spectre associé à la théorie K(2). / The aim of this PhD thesis is to study, from a functorial point of view, the mod 2 Morava K-theories of elementary abelian 2-groups. Namely, we study the covariant functors $V \mapsto K(n)^*(BV^{\sharp})$ for the prime p=2 and n a positive integer.The case n=1, which follows directly from the work of Atiyah on topological K-theory, gives us a coanalytic functor which contains no non-constant polynomial sub-functor. This is very different from the case n>1, where the above-mentioned functors are analytic.The theory of Henn-Lannes-Schwartz provides a correspondence between analytic functors and unstable modules over the Steenrod algebra. We determine the unstable module corresponding to the analytic functor $V \mapsto K(2)^*(BV^{\sharp})$, by studying the relation between this functor and the Hopf ring structure of the homology of the omega-spectrum associated to the theory K(2).

This study aims to explore if it is possible to form separate categories of aspirated voiceless stops in a second language, distinct from the equivalent categories in the native language, for native speakers of a language with an intermediate degree of aspiration, and if such category formation is eased by long-term exposure to another language in which aspirated voiceless stops exist. Two groups of adult native Japanese speakers who had lived in Sweden for a long and short time respectively were recorded when reading a list of sentences containing word-initial, utterance-medial /p t k/ in Japanese and English. Both groups produced higher VOT values for the English stops than for the Japanese stops. The results were significant for /t/ and /k/ and for the long-term residents' /p/, but not for the short-term residents' /p/, presumably because of a low number of tokens. The results are nevertheless interpreted as evident of the possibility of phonetic category formation even though there is only a small difference from the corresponding category in the native language. Since both groups had established new phonetic categories, degree of exposure to Swedish is interpreted as likely not to be a relevant factor.

Cette thèse se propose d’étudier des problèmes de classification des groupes quantiques via des invariants issus de leur théorie de représentation. Plus précisément, nous classifions les algèbres de Hopf possédant un semi-anneau de fusion isomorphe à un groupe algébrique réductif donné G. De tels groupes quantiques sont alors appelés G-déformations. Dans cette thèse, nous étudions les cas GL(2) et SO(3). Nous donnons une classification complète des GL(2)-déformations en construisant une famille d’algèbres de Hopf indexées par des matrices inversibles. Nous décrivons leurs catégories de comodules et donnons certains résultats de classification quant à leurs objets de Hopf-Galois. Ensuite, nous donnons une classification des SO(3)-déformations compactes tout en étudiant le cas non-compact. Finalement, la dernière partie de la thèse est une étude de l’algèbre sous-jacente à une certaine famille d’algèbres de Hopf, dont nous exhibons une base. Cette base nous permet de calculer le centre des ces algèbres ainsi que quelques groupes de (co)homologie. / The purpose of this dissertation is to classify quantum groups according to invariants coming from their representation theory. More precisely, we classify Hopf algebras having a fusion semiring isomorphic to that of a given reductive algebraic group G. Such a quantum group is called a G-deformation. We study the case of GL(2) and SO(3). We give a complete classification of GL(2)-deformations by building a family of Hopf algebras parametrized by invertible matrices. We describe their comodule category and we give some classification results about the Hopf-Galois objects. We also classify compact SO(3)-deformations and we study the noncompact case. Finally, the last part of this dissertation is a study of the underlying algebra of some Hopf algebras, for which we exhibit a linear basis. This basis allows us to compute the centre and some (co)homology groups of those algebras.

Magister Commercii (Industrial Psychology) - MCom(IPS) / Although South Africa is 18 years into creating a unique diversity management strategy, individuals - directly affected by diversity in organisation will differ completely from those individuals that have not been affected by diversity in organisations at all. The subject of diversity management has become a contentious issue causing disagreement and argument is in the last couple of years. Many organisations find it difficult to grasp the concept of diversity, thus creating an opportunity for organisational development consultants and management to make substantial profit (Dombai & Verwey, 1999). In the current working environment and the continuous change of the organisation‟s employees, the workforce has become more diverse. This resulted in wider employee knowledge, skills, experience and attitude which will allow the organisation to become more competitive globally. It is of utmost importance for organisations attract and retain staff from different cultural and diverse group of order to improve the employee performance and the competitive advantage of the organisation (Ferreira & Coetzee, 2010). Cumming and Worley (2009, p. 506-509) postulate that “organisational transformation – and more specifically diversity management - is impacting on the bottom line results of the organisation”. Organisational transformation implies radical changes in how members perceive, think, and behave at work. They are concerned with fundamentality altering the prevailing assumptions about how the organisation function and relates to its environment. The study aimed at determining the employees‟ perception towards workplace diversity in a financial institution operating in the Western Cape. More specifically, the following questions will be investigated in this study: What are employees‟ perceptions of workplace diversity? Do employees differ in their views/perception of workplace diversity based on their age, race, job categories, gender, job status and qualification? To what extent is workplace diversity understood by employees? What challenges are being faced to effectively implement workplace diversity? Information was gathered from both secondary and primary resources. All relevant information that was not obtained from publications was gathered through the use of questionnaires that were completed by employees in the financial institution. The primary resources in this research study used are questionnaires that were distributed to employees in a financial institution to complete. Permission was obtained from executive management, provincial management, junior management and the human resources department to distribute the research study questionnaire to the staff in the financial institution. Data was analysed by using structural, methodical and clear reasoning. Data analysis, involving a descriptive study in order to determine the relationship between the employees‟ perception towards workplace diversity in a financial institution operating in the Western Cape The descriptive study created an understanding of the relationship between the employees‟ perception towards workplace diversity, for the researcher and the organisation. The Pearson method was used to determine whether there is a relationship between age, race, gender, job category and qualification and the perceptions of workplace diversity in a financial institution. The Health Professional Council of South Africa (HPCSA)‟s ethical code of Professional Conduct for Psychologists was strictly adhered to. Voluntary participation was critical to the study because of the participants‟ time and energy required as well as asking participants to reveal personal information to the researcher. Permission to conduct the research was obtained from the financial institution where study was undertaken. Informed consent was obtained from participants before starting the data gathering process. Three hundred and nine (309) respondents completed a biographical questionnaire as well as the workplace diversity survey in order to understand their perception and understanding of workplace diversity. To ascertain the perception of workplace diversity, respondents completed a workplace diversity survey. While the results of the current study reveals interesting findings, the results should be interpreted with caution due to the size of the sample used which impacts the generalizability of the findings.

The central question of this thesis is: what is mathematics about? The answer arrived at by the thesis is an unsettling and unsatisfying one. By examining two of the most promising contemporary accounts of the nature of mathematics, I conclude that neither is as yet capable of giving us a conclusive answer to our question. The conclusion is arrived at by a combination of historical and conceptual analysis. It begins with the historical fact that, since the middle of the nineteenth century, mathematics has undergone a radical transformation. This transformation occurred in most branches of mathematics, but was perhaps most apparent in geometry. Earlier images of geometry understood it as the science of space. In the wake of the emergence of multiple distinct geometries and the realization that non-Euclidean geometries might lay claim to the description of physical space, the old picture of Euclidean geometry as the sole correct description of physical space was no longer tenable. The first chapter of the dissertation provides an historical account of some of the forces which led to the destabilization of the traditional picture of geometry. The second chapter examines the debate between Gottlob Frege and David Hilbert regarding the nature of geometry and axiomatics, ending with an argument suggesting that Hilbert’s views are ultimately unsatisfying. The third chapter continues to probe the work of Frege and, again, finds his explanations of the nature of mathematics troublingly unsatisfying. The end result of the first three chapters is that the Frege-Hilbert debate leaves us with an impasse: the traditional understanding of mathematics cannot hold, but neither can the two most promising modern accounts. The fourth and final chapter of the thesis investigates mathematical structuralism—a more recent development in the philosophy of mathematics—in order to see whether it can move us beyond the impasse of the Frege-Hilbert debate. Ultimately, it is argued that the contemporary debate between ‘assertoric’ structuralists and ‘algebraic’ structuralists recapitulates a form of the Frege-Hilbert impasse. The ultimate claim of the thesis, then, is that neither of the two most promising contemporary accounts can offer us a satisfying philosophical answer to the question ‘what is mathematics about?’.