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Os grupos de tranças do toro e da garrafa de Klein
(Universidade Federal de São Carlos, 2015-02-24)
Nesta tese estudamos os grupos de tranças (puras) de superfícies, Bn(M) e Pn(M), onde M é uma superfície compacta, priorizando o estudo dos grupos de tranças do toro, T e da garrafa de Klein, K, para compreender suas ...
Conjuntos minimais de pontos fixos e coincidências de aplicações fibradasConjuntos minimais de pontos fixos e coincidências de aplicações fibradas
(Universidade Federal de São Carlos, 2012-10-23)
This thesis was developed in two parts. Firstly, we consider a pair of fiber-preserving maps f1, f2 : M → M in a fiber bundle with base S1 and fiber Klein bottle. Using an algebraic system of equations we found in ...
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 ...
Duas involuções comutantes fixando certas variedades de Dold e certas uniões de espaços projetivos relativos a anéis diferentes
(Universidade Federal de São Carlos, 2015-04-01)
Let (M; _) be a smooth action of Z2 2 on a closed, smooth and m-dimensional manifold, with fixed point set F = m[ j=0 Fj , where Fj means the union of the components of F of dimension j. Given such a F, we can ask for the ...
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 ...
Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-20)
The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem.
We studied there generalizations with respect to any comapact and Hausdor T-
space. We used in the proofs the Z2-index of Yang and the B-index. ...
Involuções fixando FnUF3
(Universidade Federal de São Carlos, 2010-12-15)
Let Mm a closed and smooth m-dimensional manifold and T : Mm - Mm a smooth involution defined on Mm. It is well known that the fixed point set F of T is a finite and disjoint union of closed submanifolds, with possibly ...
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 ...