Homology Theory
Mostrando 1-12 de 30 artigos, teses e dissertações.
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1. Homology and cohomology of real flag manifolds / Homologia e cohomologia de variedades flag reais
Esta tese apresenta uma abordagem para o estudo da topologia das variedades flag reais. A homologia é obtida pela determinação do operador fronteira da homologia celular. Isto se dá a partir de uma parametrização explícita das células de Shubert que fornecem a estrutura celular destas variedades. Para o anel de cohomologia de uma variedade flag maxim
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 20/08/2012
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2. Matrizes de conexão via o complexo de Morse-Witten / Connection matrices via the Morse-Witten
Dada uma variedade suave e fechada M, o complexo de Morse-Witten associado a uma função de Morse f : M ? R e a uma métrica Riemanniana g em M consiste de grupos de cadeia gerados pelos pontos críticos de f e um operador bordo que conta linhas de fluxos isoladas do fluxo gradiente negativo. A homologia do complexo de Morse-Witten é isomorfa à homologia
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 05/08/2010
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3. Semântica proposicional categórica
The basic concepts of what later became called category theory were introduced in 1945 by Samuel Eilenberg and Saunders Mac Lane. In 1940s, the main applications were originally in the elds of algebraic topology and algebraic abstract. During the 1950s and 1960s, this theory became an important conceptual framework in other many areas of mathematical researc
Publicado em: 2010
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4. Matrizes de conexão para as dinamicas continua e discreta / Connectiion matrices for the continuous and discrete dynamics
The goal of this work is to present the connection matrix by establishing a parallel between the continuous and discrete settings. The homological Conley index, the main element in the definition of the connection matrix, has a diferent form for flows or continuous maps. This index is a graded vector space in the continuous case whereas in the discrete case
Publicado em: 2010
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5. Systematics and philosophy: phylogeny of Ocotea complex and revision of Ocotea indecora group (Lauraceae) / Sistemática e filosofia: filogenia do complexo Ocotea e revisão do grupo Ocotea indecora (Lauraceae)
Approaches as homology, construction of taxa, and phylogeny reconstruction can be contextualized and investigated through a historical and current connection between systematics and philosophy. The present thesis defends this scientific-philosophical connection, having as study case both the Ocotea complex, which embraces 13 genera and 750 species predominan
Publicado em: 2009
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6. THE HOMOLOGY OF SOME ISOSPECTRAL MANIFOLDS / HOMOLOGIA DE VARIEDADES ISOESPECTRAIS
For (Lambda) a real, diagonal matrix of simple spectrum, we consider O(lambda), the isospectral manifold of real, symmetric matrices conjugate to (Lambda), and (Tau)(Lambda), the isospectral manifold of tridiagonal matrices in O(Lambda).We compute the homologies of both manifolds, combining techniques of Morse theory and integrable systems. As a consequence,
Publicado em: 2008
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7. PHYLOGENETICS AND MORPHOLOGICAL EVOLUTION OF SCLERACTINIAN CORALS
Scleractinian corals are modular organisms of great ecological and economic importance that may have solitary or colonial growth forms. In spite of the rich fossil record, the evolutionary history of the group is poorly understood and its taxonomy is highly artificial because many of the features commonly employed in systematic studies of the group exhibit l
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 12/11/2007
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8. Propostas pedagógicas de geometria no movimento paranaense de matemática moderna
The study, of historical nature, has as its object the paranaense proposal of geometry in the context of the New Math Movement (NMM), initiated at international level in the 60s and 70s. The theoretical foundations were mainly based on available bibliography about NMM in Brazil, such as Brazilian Annals of Congress on the teaching of Mathematics taken place
Publicado em: 2006
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9. COMPLEXOS DE MORSE DISCRETOS E GEOMÉTRICOS / GEOMETRIC DISCRETE MORSE COMPLEXES
Differential geometry provides an intuitive way of understanding smooth objects in the space. However, with the evolution of geometric modeling by computer, this tool became both necessary and difficult to transpose to the discrete setting. The power of Morse theory relies on the link it created between differential topology and geometry. Starting from a com
Publicado em: 2005
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10. O Teorema do h-cobordismo e a conjectura generalizada de PoincarÃ
The work of the following way In the first chapter it is developed to a list definitions and theorems that we found but important on subjects such as Topology, Differential Manifolds and aspects of the Algebraic Topology, which will be used in the following chapters. We considered advisable to indicate the demonstrations of the theorems, thus, like commentar
Publicado em: 2005
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11. STRENGTHENING OF SPERNER'S LEMMA APPLIED TO HOMOLOGY THEORY
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12. Algebraic K-theory of discrete subgroups of Lie groups
Let G be a Lie group (with finitely many connected components) and Γ be a discrete, cocompact, torsion-free subgroup of G. We rationally calculate the algebraic K-theory of the integral group ring ZΓ in terms of the homology of Γ with trivial rational coefficients.