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Grupo de tranças e espaços de configurações
(Universidade Federal de São Carlos, 2007-06-27)
In this work, we study the Artin braid group, B(n), and the confguration spaces (ordered and unordered) of a path connected manifold of dimension ¸ 2. The fundamental group of confguration space (unordered) of IR2 is ...
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 ...
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.
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 ...
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 ...
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 ...
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 ...