Algebraic Topology
Mostrando 1-12 de 16 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. O complexo de Morse-Witten via sequências espectrais / The Morse-Witten complex via spectral sequences
Nesse trabalho, estudaremos o complexo de Morse-Witten via sequências espectrais, utilizando a matriz de conexão sobre z que codifica as orbitas de conexão do uso de Morse associado ao complexo. O algoritmo do Método da Varredura aplicado à matriz de conexão sobre z produz uma sequência espectral (Er; dr), que por sua vez nos fornece informações imp
Publicado em: 2011
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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. Sobre teoremas de equilíbrio de Nash / On Nash equilibrium theorems
In this work, applying methods of Algebraic Topology, we obtain new versions of the Nash equilibrium theorem. We define a concept of local equilibrium for non-cooperative games, the socalled weak local equilibrium, and we prove its existence when the spaces of strategies are differentiable manifolds and the payoff functions are continuously differentiable. W
Publicado em: 2010
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5. Detectando fatores de variedade de codimensão um com propriedades de posição geral
This work is an approach to the famous "Product with a Line Problem". It investigates the class of topological spaces whose cartesian product with R is a topological manifold. Such spaces are called "Codimension One Manifold Factors". Based mainly on [5, 7, 14, 15, 24], we introduce the concept of generalized manifolds, which are separable ANR spaces with sa
Publicado em: 2010
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6. 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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7. Estrutura de dados Mate Face e aplicações em geração e movimento de malhas / The Mate Face data structure and applications in mesh generation and movement
Topological data Structures (DS) oer several advantages when performing a deformation on a mesh. These DSs allow movement throughout the mesh without modifying its topology, are relatively simple to implement, and there is always the possibility of merging it to simulation/deformation cycle on a completely automatic and ecient form. The main goal of this wor
Publicado em: 2009
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8. Formas quadrÃticas sobre corpos, Ãlgebras com divisÃo e Ãlgebras de Clifford
In this dissertation we treat some aspects of the theory of quadratic forms over a field, algebras with division and simple central algebras. Important objects here studied are the Wittâs ring, the Brauerâs group, the Cliffordâs algebras and the Wedderburnâs theorem over the structure of simple central algebras. These theories are deeply linked together
Publicado em: 2008
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9. Um grupo de Richard Thompson e seu invariante homotopico sigma / A Richard Thompson group and its homotopical sigma invariant
Neste projeto de mestrado, estudamos um dos grupos de Richard Thompson e apresentamos os cálculos de seu invariante homotópico Sigma, em qualquer dimensão m, onde m é um inteiro positivo. O grupo de Richard Thompson, denotado por F, foi por ele definido em 1965 e ficou conhecido, mais tarde, por suas propriedades homotópicas e homológicas interessantes
Publicado em: 2008
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10. A dinamica por tras da sequencia espectral / The dynamic behind the spectral sequence
In this work, we present an algorithm for a chain complex C and its di_erential given by a connection matrix which determines an associated spectral sequence (Er, dr). More specifically, a system spanning Er in terms of the original basis of C is obtained as well as the identi_cation of all di_erentials dr p : Er p ! Er p?r. In exploring the dynamical implic
Publicado em: 2008
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11. The Conley index for discontinuous vector fields / O indice de Conley para campos de vetores descontinuos
The Conley index is a used as a topological invariant in the analysis of the qualitative behavior of dynamical systems. lnitially the theory was developed for continuous flows in finite dimensional spaces and later extended to the infinite dimensional setting as well as to the discrete case. ln this work, we present a Conley index theory for a class of disco
Publicado em: 2008
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12. Propriedades homologicas de mergulho de grupos discretos metabelianos / Embedding homological properties of metabelian discrete groups
We study embedding homological properties of finitely generated metabelian groups and we extend an earlier work in [19] where it was shown that for a fixed m every finitely generated metabelian group G embeds in a quotient of a metabelian group of homological type FPm and furthermore that G embeds in a metabelian group of type FP4. More precisely we show tha
Publicado em: 2006