Let Ω be the Fraïssé limit of a class of relational structures. We seek to answer the following semigroup theoretic question about Ω. What are the group H-classes, i.e. the maximal subgroups, of End(Ω)? Fraïssé limits for which we answer this question include the random graph R, the random directed graph D, the random tournament T, the random bipartite graph B, Henson's graphs G[subscript n] (for n greater or equal to 3) and the total order Q. The maximal subgroups of End(Ω) are closely connected to the automorphism groups of the relational structures induced by the images of idempotents from End(Ω). It has been shown that the relational structure induced by the image of an idempotent from End(Ω) is algebraically closed. Accordingly, we investigate which groups can be realised as the automorphism group of an algebraically closed relational structure in order to determine the maximal subgroups of End(Ω) in each case. In particular, we show that if Γ is a countable graph and Ω = R,D,B, then there exist 2[superscript aleph-naught] maximal subgroups of End(Ω) which are isomorphic to Aut(Γ). Additionally, we provide a complete description of the subsets of Q which are the image of an idempotent from End(Q). We call these subsets retracts of Q and show that if Ω is a total order and f is an embedding of Ω into Q such that im f is a retract of Q, then there exist 2[superscript aleph-naught] maximal subgroups of End(Q) isomorphic to Aut(Ω). We also show that any countable maximal subgroup of End(Q) must be isomorphic to Zⁿ for some natural number n. As a consequence of the methods developed, we are also able to show that when Ω = R,D,B,Q there exist 2[superscript aleph-naught] regular D-classes of End(Ω) and when Ω = R,D,B there exist 2[superscript aleph-naught] J-classes of End(Ω). Additionally we show that if Ω = R,D then all regular D-classes contain 2[superscript aleph-naught] group H-classes. On the other hand, we show that when Ω = B,Q there exist regular D-classes which contain countably many group H-classes.

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.

Cette thèse s'intéresse à la cohomologie de fibrés en droite sur le fibré cotangent de variétés projectives. Plus précisément, pour $G$ un groupe algébrique simple, connexe et simplement connexe, $P$ un sous-groupe maximal de $G$ et $\omega$ un générateur dominant du groupe de caractères de $P$, on cherche à comprendre les groupes de cohomologie $H^i(T^*(G/P),\mathcal{L})$ où $\mathcal{L}$ est le faisceau des sections d'un fibré en droite sur $T^*(G/P)$. Sous certaines conditions, nous allons montrer qu'il existe un isomorphisme, à graduation près, entre $H^i(T^*(G/P),\mathcal{L})$ et $H^i(T^*(G/P),\mathcal{L}^{\vee})$ Après avoir travaillé dans un contexte théorique, nous nous intéresserons à certains sous-groupes paraboliques en lien avec les orbites nilpotentes. Dans ce cas, l'algèbre de Lie du radical unipotent de $P$, que nous noterons $\nLie$, a une structure d'espace vectoriel préhomogène. Nous pourrons alors déterminer quels cas vérifient les hypothèses nécessaires à la preuve de l'isomorphisme en montrant l'existence d'un $P$-covariant $f$ dans $\comp[\nLie]$ et en étudiant ses propriétés. Nous nous intéresserons ensuite aux singularités de la variété affine $V(f)$. Nous serons en mesure de montrer que sa normalisation est à singularités rationnelles. / In this thesis, we study the cohomology of line bundles on cotangent bundle of projective varieties. To be more precise, let $G$ be an semisimple algebraic group which is simply connected, $P$ a maximal subgroup and $\omega$ a dominant weight that generates the character group of $P$. Our goal is to understand the cohomology groups $H^i(T^*(G/P),\mathcal{L})$ where $\mathcal{L}$ is the sheaf of sections of a line bundle on $T^*(G/P)$. Under some conditions, we will show that there exists an isomorphism, up to grading, between $H^i(T^*(G/P),\mathcal{L})$ and $H^i(T^*(G/P),\mathcal{L}^{\vee})$. After we worked in a theoretical setting, we will focus on maximal parabolic subgroups related to nilpotent varieties. In this case, the Lie algebra of the unipotent radical of $P$ has a structure of prehomogeneous vector spaces. We will be able to determine which cases verify the hypothesis of the isomorphism by showing the existence of a $P$-covariant $f$ in $\comp[\nLie]$ and by studying its properties. We will be interested by the singularities of the affine variety $V(f)$. We will show that the normalisation of $V(f)$ has rational singularities.

Syfte och frågeställningar. Syftet med studien är att, hos äldre personer, över 65 år, samt hos yngre vuxna, mellan 20-30 år, jämföra syreupptagningsförmågan med två olika metoder, fem-minuterspyramidtest (5MPT) samt VO2max-test på löpband. Vid båda mätmetoderna används direkt syrgasmätning. Metod. Totalt deltog 36 personer i studien, varav 17 äldre personer 65 till 85 år (9 kvinnor och 8 män) samt 19 yngre med en ålder mellan 20 till 35 år (10 kvinnor och 9 män). Deltagarnas syreupptagningsförmåga mättes under 5MPT vid två tillfällen som sedan jämfördes med VO2max mätt via ett maximalt test på löpband vid ett tillfälle. Således utfördes sammanlagt tre mätningar med direkt syrgasmätning, via andningsmask, under ett maximalt löpbandstest samt under två separata tester av 5MPT med minst 48 timmar mellan varje testtillfälle. Utandningsluften analyserades sedan, vid 5MPT för alla, via det trådlösa portabla systemet Jaeger Oxycon Mobile och vid test på löpband för testgruppen med yngre deltagare. För den testgrupp med äldre deltagare användes, vid testet på löpband, den fasta on-line-utrustningen Jaeger Oxycon Pro som är en liknande mätmetod för syreupptag. 5MPT är ett fem minuter långt test där individen från golvnivå, med högsta möjliga tempo, förflyttar sig fram och tillbaka på en 5,50 meter lång sträcka med en centralt placerad trappramp som är pyramidformad och med en högsta central höjd på 0,62 meter. Resultat. Det primära fyndet i studien var att en stark signifikant korrelation (r = 0,99) visade sig mellan direkt uppmätt VO2max under maximalt test på löpband gentemot syreupptagningsförmågan vid 5MPT då båda åldersgrupperna var sammanslagna, uppmätt i l·min–1. Slutsats. Då det i undersökningen visades en stark signifikant korrelation mellan direkt uppmätt VO2max vid 5MPT och ett maximalt test på löpband i l·min–1 för äldre och yngre vuxna ger det indikationer på att 5MPT kan används som en tillförlitlig metod vid undersökning och uppföljning av en persons aeroba förmåga. Fyndet kan vara av värde då det genom mindre kostsamma och enklare metoder går att få ett mått på en persons hälsa i form av aerob kapacitet, vilket är betydelsefullt ur flera hälsoaspekter på individ- och samhällsnivå. / Aim. The purpose of the study was to investigate the results and correlation between oxygen uptake levels (VO2max) at five-minute pyramid test (5MPT) against maximal oxygen uptake test (VO2max) on a treadmill test, both measured by direct oxygen measurement, in elderly people over 65 years and younger adults aged 20-30 years. Method. A total of 36 people participated in the study, 17 elderly people aged between 65 to 85 years (9 women and 8 men) and 19 younger adults aged between 20 to 35 years (10 women and 9 men). The participants' oxygen uptake was measured twice during 5MPT and then compared with VO2max measured by a maximal treadmill test at one occasion. Thus a total of three measurements with direct oxygen measurement, via the breathing mask, during a maximum treadmill test and two separate tests of 5MPT with at least 48 hours between each test. The exhaled air was analyzed at 5MPT for all, through the wireless portable system Jaeger Oxycon Mobile and also during the test on treadmill for the test group with younger participants. The test group of older participants, got their exhaled air analyzed through a stationary on-line equipment Jaeger Oxycon Pro instead of the portable system which is a similar reliable method to measure VO2max. 5MPT is a five minute test where the subjects from floor level, with the highest possible speed, moves back and forth at a measured distance of 5.50 meter with a central staircase ramp, which is pyramid-shaped, with a maximum center height of 0.62 meters. Results. The main finding of the study was that there was a strong significant correlation (r = 0.99) between directly measured VO2max during a maximum treadmill test compared to oxygen uptake at 5MPT when both the elderly people and the younger adults were combined, measured in l·min–1. Conclusion. The study showed a strong significant correlation between directly measured VO2max at 5MPT and a maximal treadmill testing l·min–1 for older and younger adults. This indicates that 5MPT can be used as a reliable method for investigation and monitoring a person’s aerobic capacity. This finding may be of value because it shows that less expensive and easier methods can be used to measure a person's health in terms of aerobic capacity, which is important from several aspects of health at both the individual and society level.

Diversos testes têm sido realizados como parte da avaliação na população com doenças cardiovasculares para avaliação de força global, dentre eles está a força da musculatura respiratória que quando reduzida no pre operatório é um forte indicador de tempo de ventilação mecânica invasiva (VMI) prolongado, uma outra avaliação de força frequentemente aplicado no ambiente hospitalar é a avaliação da força de preensão palmar que está incluso na identificação do fenótipo da fragilidade física e índice nutricional. A consciência da importância da disfunção da musculatura respiratória em pacientes com insuficiência respiratória motivou o desenvolvimento de diversos estudos conduzidos em indivíduos saudáveis, a fim de se avaliar a força muscular de forma indireta através de valores de pressão inspiratória máxima (PIMÁX) e pressão expiratória máxima (PEMÁX). O objetivo deste trabalho foi determinar valores de referência e equações para predição da força de preensão palmar (FPP) e a força da musculatura respiratória em indivíduos adultos saudáveis da cidade de Ribeirão Preto (SP) e região. Foi utilizado um dinamômetro manual portátil hidráulico MN70142 - North Coast® (Sammons Preston). Foram estudados 114 voluntários, 71 mulheres e 70 homens, com idades entre 18 e 82 anos (média 47±16 anos). A FPP média da mão dominante foi de 28,4±9,7quilograma/força (kgf) para mulheres (percentil 25%:24kgf - percentil 75%: 32kgf) e 40,3±14,3kgf para homens ((percentil 25%:32kgf - percentil 75%: 46kgf) (p<0,001). A equação para predição da FPP da mão dominante obtida foi: FPP= -20,928 + idade x (-0,181) + estatura x (36,011) + gênero x (7,246). A Pressão Inspiratória máxima (PImáx) foi de 77,06cmH2O para o gênero feminino e 107,29cmH2O para o gênero masculino. A Pressão expiratória máxima (PEmáx) foi de 83,28cmH2O para o gênero feminino e de 112,07cmH2O para o gênero masculino. A equação para predição da PImáx obtida foi: PImáx=106,767+ gênero x (29,513) + idade x (-0,666). E a equação de predição da PEmáx obtida foi: PEmax = 7,382+ idade x (-0,309) + gênero x (21,534). O presente estudo forneceu valores de referência e equações para a predição da força de preensão palmar, da PImáx e da PEmáx de acordo com a faixa etária e o gênero, de indivíduos saudáveis residentes em Ribeirão Preto (SP) e região. / Several tests have been performed as part of the evaluation in the population with cardiovascular diseases for global strength assessment, among them is the strength of the respiratory muscles which, when reduced in the preoperative period, is a strong indicator of the time of prolonged invasive mechanical ventilation (IMV), a another assessment of force frequently applied in the hospital environment is the evaluation of palmar grip strength that is included in the identification of the physical fragility and nutritional index phenotype. The awareness of the importance of respiratory muscle dysfunction in patients with respiratory failure motivated the development of several studies conducted in healthy individuals to evaluate muscle strength indirectly through maximal inspiratory pressure (PIMÁX) and maximal expiratory pressure (PEMÁX). The aim of this study was to determine reference values and equations for the prediction of palmar grip strength (FPP) and respiratory muscle strength in healthy adults in the city of Ribeirão Preto (SP) and region. A MN70142 - North Coast® portable handheld hydraulic dynamometer (Sammons Preston) was used. A total of 114 volunteers, 71 women and 70 men, aged between 18 and 82 years (mean 47 ± 16 years) were studied. The mean FP of the dominant hand was 28.4 ± 9.7 kilograms (kgf) for females (25% percentile: 24kgf - 75% percentile: 32kgf) and 40.3 ± 14.3kgf for males (25th percentile The equation for predicting the FPP of the dominant hand obtained was: FPP = -20.928 + age x (-0.181) + height x (36.011) + gender x (7,246%) (p <0.001) The maximum inspiratory pressure (MIP) was 77.06cmH2O for the female gender and 107,29cmH2O for the male gender. The maximum expiratory pressure (MEP) was 83.28cmH2O for the female gender and 112.07cmH2O for the The prediction equation for PEmax obtained was: PEmax = 7.382+ age x (-0.309) + (-0.309) + gender x (29.513) + age x (-0.666) gender x (21,534) The present study provided reference values and equations for the prediction of palmar grip strength, MIP and MEP according to age group and gender, of individuals residents healthy duos in Ribeirão Preto (SP) and region.

Diversos testes têm sido realizados como parte da avaliação na população com doenças cardiovasculares para avaliação de força global, dentre eles está a força da musculatura respiratória que quando reduzida no pre operatório é um forte indicador de tempo de ventilação mecânica invasiva (VMI) prolongado, uma outra avaliação de força frequentemente aplicado no ambiente hospitalar é a avaliação da força de preensão palmar que está incluso na identificação do fenótipo da fragilidade física e índice nutricional. A consciência da importância da disfunção da musculatura respiratória em pacientes com insuficiência respiratória motivou o desenvolvimento de diversos estudos conduzidos em indivíduos saudáveis, a fim de se avaliar a força muscular de forma indireta através de valores de pressão inspiratória máxima (PIMÁX) e pressão expiratória máxima (PEMÁX). O objetivo deste trabalho foi determinar valores de referência e equações para predição da força de preensão palmar (FPP) e a força da musculatura respiratória em indivíduos adultos saudáveis da cidade de Ribeirão Preto (SP) e região. Foi utilizado um dinamômetro manual portátil hidráulico MN70142 - North Coast® (Sammons Preston). Foram estudados 114 voluntários, 71 mulheres e 70 homens, com idades entre 18 e 82 anos (média 47±16 anos). A FPP média da mão dominante foi de 28,4±9,7quilograma/força (kgf) para mulheres (percentil 25%:24kgf - percentil 75%: 32kgf) e 40,3±14,3kgf para homens ((percentil 25%:32kgf - percentil 75%: 46kgf) (p<0,001). A equação para predição da FPP da mão dominante obtida foi: FPP= -20,928 + idade x (-0,181) + estatura x (36,011) + gênero x (7,246). A Pressão Inspiratória máxima (PImáx) foi de 77,06cmH2O para o gênero feminino e 107,29cmH2O para o gênero masculino. A Pressão expiratória máxima (PEmáx) foi de 83,28cmH2O para o gênero feminino e de 112,07cmH2O para o gênero masculino. A equação para predição da PImáx obtida foi: PImáx=106,767+ gênero x (29,513) + idade x (-0,666). E a equação de predição da PEmáx obtida foi: PEmax = 7,382+ idade x (-0,309) + gênero x (21,534). O presente estudo forneceu valores de referência e equações para a predição da força de preensão palmar, da PImáx e da PEmáx de acordo com a faixa etária e o gênero, de indivíduos saudáveis residentes em Ribeirão Preto (SP) e região. / Several tests have been performed as part of the evaluation in the population with cardiovascular diseases for global strength assessment, among them is the strength of the respiratory muscles which, when reduced in the preoperative period, is a strong indicator of the time of prolonged invasive mechanical ventilation (IMV), a another assessment of force frequently applied in the hospital environment is the evaluation of palmar grip strength that is included in the identification of the physical fragility and nutritional index phenotype. The awareness of the importance of respiratory muscle dysfunction in patients with respiratory failure motivated the development of several studies conducted in healthy individuals to evaluate muscle strength indirectly through maximal inspiratory pressure (PIMÁX) and maximal expiratory pressure (PEMÁX). The aim of this study was to determine reference values and equations for the prediction of palmar grip strength (FPP) and respiratory muscle strength in healthy adults in the city of Ribeirão Preto (SP) and region. A MN70142 - North Coast® portable handheld hydraulic dynamometer (Sammons Preston) was used. A total of 114 volunteers, 71 women and 70 men, aged between 18 and 82 years (mean 47 ± 16 years) were studied. The mean FP of the dominant hand was 28.4 ± 9.7 kilograms (kgf) for females (25% percentile: 24kgf - 75% percentile: 32kgf) and 40.3 ± 14.3kgf for males (25th percentile The equation for predicting the FPP of the dominant hand obtained was: FPP = -20.928 + age x (-0.181) + height x (36.011) + gender x (7,246%) (p <0.001) The maximum inspiratory pressure (MIP) was 77.06cmH2O for the female gender and 107,29cmH2O for the male gender. The maximum expiratory pressure (MEP) was 83.28cmH2O for the female gender and 112.07cmH2O for the The prediction equation for PEmax obtained was: PEmax = 7.382+ age x (-0.309) + (-0.309) + gender x (29.513) + age x (-0.666) gender x (21,534) The present study provided reference values and equations for the prediction of palmar grip strength, MIP and MEP according to age group and gender, of individuals residents healthy duos in Ribeirão Preto (SP) and region.

Dans cette thèse, nous avons présenté trois méthodes différentes pour l’énumération de sousréseauxparticuliers d’un réseau métabolique: les histoires métaboliques, les ensembles minimaux deprécurseurs et les organisations chimiques. Pour chacune de ces trois méthodes, nous avons présentédes résultats théoriques, et pour les deux premières, nous avons en outre fourni une illustration surcomment les appliquer afin d’étudier le comportement métabolique des organismes vivants. Les histoiresmétaboliques sont définies comme des graphes acycliques dirigés maximaux dont les ensemblesde sources et de cibles sont limités à un sous-ensemble des noeuds. La motivation initiale de cette définitionétait d’analyser des données expérimentales de métabolomique, mais la méthode a égalementété explorée dans un contexte différent. Les ensembles de précurseurs métaboliques sont des ensemblesminimaux de nutriments qui permettent de produire des métabolites d’intérêt. Nous présentons troisméthodes différentes pour l’énumération de tels ensembles minimaux de précurseurs, et nous illustronsleur application dans une étude des échanges métaboliques dans un système symbiotique. Les organisationschimiques sont des ensembles de métabolites qui à la fois sont fermés et s’auto-maintiennent,ce qui reflète des caractéristiques de stabilité dans le sens où aucun nouveau métabolite ne peut êtreproduit et qu’aucun des métabolites déjà présents dans le système ne peut disparaître. / In this thesis, we presented three different methods for enumerating special subnetworks containedin a metabolic network: metabolic stories, minimal precursor sets and chemical organisations. Foreach of the three methods, we gave theoretical results, and for the two first ones, we further providedan illustration on how to apply them in order to study the metabolic behaviour of living organisms.Metabolic stories are defined as maximal directed acyclic graphs whose sets of sources and targets arerestricted to a subset of the nodes. The initial motivation of this definition was to analyse metabolomicsexperimental data, but the method was also explored in a different context. Metabolic precursor setsare minimal sets of nutrients that are able to produce metabolites of interest. We present threedifferent methods for enumerating minimal precursor sets and we illustrate the application in a studyof the metabolic exchanges in a symbiotic system. Chemical organisations are sets of metabolites thatare simultaneously closed and self-maintaining, which captures some stability feature in the

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal

Cette thèse s'intéresse à la cohomologie de fibrés en droite sur le fibré cotangent de variétés projectives. Plus précisément, pour $G$ un groupe algébrique simple, connexe et simplement connexe, $P$ un sous-groupe maximal de $G$ et $\omega$ un générateur dominant du groupe de caractères de $P$, on cherche à comprendre les groupes de cohomologie $H^i(T^*(G/P),\mathcal{L})$ où $\mathcal{L}$ est le faisceau des sections d'un fibré en droite sur $T^*(G/P)$. Sous certaines conditions, nous allons montrer qu'il existe un isomorphisme, à graduation près, entre $H^i(T^*(G/P),\mathcal{L})$ et $H^i(T^*(G/P),\mathcal{L}^{\vee})$ Après avoir travaillé dans un contexte théorique, nous nous intéresserons à certains sous-groupes paraboliques en lien avec les orbites nilpotentes. Dans ce cas, l'algèbre de Lie du radical unipotent de $P$, que nous noterons $\nLie$, a une structure d'espace vectoriel préhomogène. Nous pourrons alors déterminer quels cas vérifient les hypothèses nécessaires à la preuve de l'isomorphisme en montrant l'existence d'un $P$-covariant $f$ dans $\comp[\nLie]$ et en étudiant ses propriétés. Nous nous intéresserons ensuite aux singularités de la variété affine $V(f)$. Nous serons en mesure de montrer que sa normalisation est à singularités rationnelles. / In this thesis, we study the cohomology of line bundles on cotangent bundle of projective varieties. To be more precise, let $G$ be an semisimple algebraic group which is simply connected, $P$ a maximal subgroup and $\omega$ a dominant weight that generates the character group of $P$. Our goal is to understand the cohomology groups $H^i(T^*(G/P),\mathcal{L})$ where $\mathcal{L}$ is the sheaf of sections of a line bundle on $T^*(G/P)$. Under some conditions, we will show that there exists an isomorphism, up to grading, between $H^i(T^*(G/P),\mathcal{L})$ and $H^i(T^*(G/P),\mathcal{L}^{\vee})$. After we worked in a theoretical setting, we will focus on maximal parabolic subgroups related to nilpotent varieties. In this case, the Lie algebra of the unipotent radical of $P$ has a structure of prehomogeneous vector spaces. We will be able to determine which cases verify the hypothesis of the isomorphism by showing the existence of a $P$-covariant $f$ in $\comp[\nLie]$ and by studying its properties. We will be interested by the singularities of the affine variety $V(f)$. We will show that the normalisation of $V(f)$ has rational singularities.

Made available in DSpace on 2016-06-02T20:28:30Z (GMT). No. of bitstreams: 1 6065.pdf: 865751 bytes, checksum: 22466d8659637f2282b6be8b0adb5a33 (MD5) Previous issue date: 2014-03-13 / Financiadora de Estudos e Projetos / This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is a space of distributions when 0 < p < 1. When 0 < p ^ 1, the Hardy spaces offers a better treatment involving harmonic analysis than the Lp spaces. Among other results, we prove the maximal characterization theorem of Hp, which gives equivalent definitions of Hp, based on different maximal functions. We will proof the atomic decom¬position theorem for Hp, which allow decompose any distribution in Hp to be written as a sum of Hp-atoms (measurable functions that satisfy certain properties). In this step, we use the strongly the of Whitney decomposition and generalized Calderon-Zygmund decomposition. In the second part, as a application, we will prove that nonlinear quantities (such as the Jacobian, divergent and rotational defined in Rn) identied by the compensated compactness theory belong, under natural conditions, the Hardy spaces. To this end, in addition to the results seen in the first part, will use the results as Sobolev immersions theorems ans the inequality Sobolev-Poincare. Furthermore, we will use the tings and results related to the context of differential forms. / Esse trabalho está dividido em duas partes.Na primeira, nosso objetivo e apresentar os espaços de Hardy Hp(Rn), o qual coincide com os espaços Lp(Rn), quando p > 1, esta estritamente contido em Lp(Rn) se p = 1, e e um espaço de distribuições quando 0 < p < 1. Quando 0 < p < 1, os espaços de Hardy oferecem um melhor tratamento envolvendo analise harmônica do que os espaços Lp(Rn). Entre outros resultados, provamos o teorema da caracterização maximal de Hp, o qual fornece varias, porem equivalentes, formas de caracterizar Hp, com base em diferentes funcões maximais. Demonstramos o teorema da decomposição atômica para Hp, 0 < p < 1, que permite decompor qualquer distribuição em Hp como soma de Hp-atomos (funções mensuráveis que satisfazem certas propriedades). Nessa etapa, usamos fortemente a de- composição de Whitney e a decomposto de Calderon-Zygmund generalizada. Na segunda parte, como uma aplicação, provamos que quantidades não-lineares (como o jacobiano, divergente e o rotacional definidos em Rn), identificadas pela teoria compacidade compensada pertencem, em condições naturais, aos espaços de Hardy. Para tanto, além dos resultados visto na primeira parte, usamos outros como os Teoremas de Imersões de Sobolev, a desigualdade de Sobolev-Poincaré. Usamos ainda, definições e resultados referentes ao contexto de formas diferenciais.