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Now showing items 11-20 of 26
Produtos em homologia e cohomologia na categoria dos complexos simpliciais.
(Universidade Federal de São Carlos, 2004-03-31)
In this work we present fundamental theory to establish the coordinates of the Kronecker Index, Cup and Cap Products in the finite Simplicial Complexes category in terms of chain and cochain.
Detectando fatores de variedade de codimensão um com propriedades de posição geral
(Universidade Federal de São Carlos, 2010-05-18)
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 ...
Um homomorfismo índice associado à ações livres de grupos abelianos finitos
(Universidade Federal de São Carlos, 2011-02-25)
The main objective of this work is to generalize an article of Pedro Pergher, specifically the article A Zp - index homomorphism for Zp-spaces - Houston J. Math. - 31 - (2005) - N. 2 - 305-314 [7], replacing the cyclic ...
Propriedade de Wecken para pontos periódicos
(Universidade Federal de São Carlos, 2010-03-05)
The objective of this work is to present some procedures for orbits of periodic points class to relate the full Nielsen-Jiang periodic point of a self map of a manifold of dimension greater than three with the cardinality ...
Uma nota sobre o teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-25)
The main objective of this work is to prove that the map B defined on F and taking values in B, where F is the set of all continuous functions from Sn to Rn and B is the set of all nonempty closed subsets of Sn, invariant ...
Um homomorfismo índice associado à ações livres de Zp.
(Universidade Federal de São Carlos, 2003-06-23)
The objective of this work is to detail and to analyze consequences of a recent paper of P. Pergher, which deals with the construction of an indexhomomorphism associated to spaces equipped with free actions of the cyclic ...
Uma generalização do teorema de Ljusternik-Schnirelmann.
(Universidade Federal de São Carlos, 2005-08-31)
The purpose of this work is to present a generalized version of the classic Ljusternik-Schnirelmann theorem given by H. Steinlein [16] by using the con- cept of genus (c.f. [20]) of a Hausdor® space M with a mapping f : M ...
Generalização da sequência curta de Fadell-Neuwirth para os grupos de tranças de superfícies
(Universidade Federal de São Carlos, 2014-02-17)
The objective of this work is to study the braid groups on topological surfaces as well as studying a generalization of the Fadell-Neuwirth short exact sequence. We treated also the existence of a cross-section for the ...
Compactly-supported and relative integration in differential cohomology
(Universidade Federal de São Carlos, 2022-04-11)
In this work, we have constructed more general versions of differential integration maps
in differential cohomology theories. Among the obtained versions we can mention the
integration with compact supports, the integration ...
Categoria de Lusternik-Schnirelmann e aplicações
(Universidade Federal de São Carlos, 2022-02-14)
The Lusternik-Schnirelmann category associates a positive integer to each topological space. This number is an important invariant in algebraic topology, critical point theory and symplectic geometry. In this dissertation ...