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Homologia simplicial e característica de EulerSimplicial Homology and Euler Characteristics
(Universidade Federal de UberlândiaBrasilMatemática, 2022)
Relacionando o grupo fundamental e a homologia simplicial.
(Universidade Federal de UberlândiaBrasilMatemática, 2019)
Produtos em homologia e cohomologia na categoria dos complexos simpliciais.
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 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.
Triangulaciones y homología simplicial
(Pontificia Universidad Católica del PerúPE, 2017)
Homología persistente y curvatura discreta en el análisis topológico de datos
En este trabajo se expone la teoría básica necesaria para aplicar la homología persistente para el análisis topológico de datos, utilizando el algoritmo de Vietoris-Rips. La presentación incluye las herramientas necesarias ...
A note on the homotopy type of the Alexander dual
(Springer, 2014-07)
We investigate the homotopy type of the Alexander dual of a simplicial complex. It is known that in general the homotopy type of K does not determine the homotopy type of its dual K∗ . We construct for each finitely presented ...
A walk through the theory of single and multidimensional persistence
(Pontificia Universidad Javeriana, 2022)
Grafos em superfícies
(Universidade Estadual Paulista (Unesp), 2014-12-12)
The main goal of this work is to get a result on separation of surfaces by graphs. The Relative Homology is the principal tool used and we get a particular version of Lefschetz duality. For the preparation of this dissertation ...