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Uma caracterização homotópica do espaço de laços da suspensão de um espaço topológico
(Universidade Federal de São Carlos, 2011-03-06)
Our main goal in this dissertation is to show that the loopspace of reduced suspension of a connected CW complex X has the same type of homotopy that the free topological monoid generated by X.
Recobrimentos ramificados entre superfícies e 2-orbifolds geométricos
(Universidade Federal de São Carlos, 2014-10-22)
The purpose of this work is to study the realizability problem of branched coverings between closed, connected and orientable surfaces. For each covering, there exists a set of naturally associated data called branch datum ...
Classes de Reidemeister para coincidências entre secções de um fibrado
(Universidade Federal de São Carlos, 2014-03-28)
In this work we study the theory of Reidemeister coincidence classes for coincidences between two sections s; f : B → E de um fibrado q : E → B, both the algebraic treatment by the Reidemeister action and the ...
Estimativas ótimas para certos teoremas generalizados de Borsuk-Ulam e Ljusternik-Schnirelmann.
(Universidade Federal de São Carlos, 2005-07-28)
The classic Theorems of Borsuk-Ulam and Ljusternik-Schnirelmann have many generalizations, among which we point out that given by C. Schupp [12] and H. Steinlein [14]. Schupp generalizes the Borsuk-Ulam Theorem by replacing ...
D-classes de homotopia, uma generalização da teoria de ∆-classes de homotopia
(Universidade Federal de São Carlos, 2011-03-04)
This work is based on Ph.d. thesis of R.Brooks [1]. R.Brooks develops his work in three parts, first establishes Nielsen s theory (Essential class, Nielsen s number, estimates for the Nielsen s number) for determined classes ...
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 ...
Pontos fixos e os contra-exemplos de Jiang
(Universidade Federal de São Carlos, 2009-02-27)
The aim of this work is construct the example, presented by Boju Jiang, of a self - map on a manifold with non - realizable Nielsen number. Firstly we will need to present the fixed point
theory and some results about ...
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 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 ...
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.