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Itens para a visualização no momento 11-20 of 20
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 ...
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 ...
Homotopias finitamente fixadas e pares de homotopias finitamente coincidentes
(Universidade Federal de São Carlos, 2011-03-02)
In the area of the theory of fixed points and coincidences of Nielsen, this study aims to develop techniques to minimize the set of fixed points in homotopies and the set of coincidences in pairs of homotopies. The techniques ...
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 ...
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. ...
Construção de espaços classificantes
(Universidade Federal de São Carlos, 2004-02-27)
In this work we present a construction of classifying spaces for principal bundles by studying simplicial and co-simplicial objects over a category and as application we present the construction of Eilenberg-MacLane ...
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 ...
Merge trees decoradas e TDA
(Universidade Federal de São Carlos, 2023-08-10)
In this document, first we will introduce Persistance Homology and Category Theory basic concepts. Afterwards, we will develop the Merge Tree Theory which will be useful to keep track of connected components evolution of ...