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Artículo
Homotopy in digital spaces
(Elsevier, 2003-01-15)
The main contribution of this paper is a new “extrinsic” digital fundamental group that can be readily generalized to define higher homotopy groups for arbitrary digital spaces. We show that the digital fundamental group ...
Tesis Doctoral
La sucesión de fibración homotópica de K-teorías asociada a la localización de categorías exactas
(2001)
En la tesis que se presenta se extienden fundamentalmente algunos resultados y metodologías de mediados de los años 80 y 90 sobre la k-categoría algebraica de categorías aditivas al estudio de la k-categoría algebraica de ...
Artículo
Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces
(Belgian Mathematical Society, 2002-09)
Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of proper maps. By comparing the proper Lusternik-Schnirelmann category of an open manifold X with ...
Artículo
One-relator groups and proper 3-realizability
(European Mathematical Society, 2009)
How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? Regarding this question, we recall that a finitely presented group G is said to be properly 3-realizable ...
Artículo
The equivariant category of proper G-Spaces
(Rocky Mountain Mathematics Consortium, 2001)
Artículo
Amalgamated products and properly 3-realizable groups
(Elsevier, 2007-01)
In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and HNN-extensions) over finite groups. We recall that G is said to be properly 3-realizable if there ...
Artículo
On the connectivity of skeletons of pseudomanifolds with boundary
(Mathematical Institute, Academy of Sciences of the Czech Republic, 2002)
In this note we show that 1-skeletons and 2-skeletons of n-pseudomanifolds with full boundary are (n+ 1)-connected graphs and n-connected 2-complexes, respectively. This generalizes previous results due to Barnette and Woon.
Artículo
A digital index theorem
(World Scientific Publishing, 2001-11)
This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f belongs to a large family of lighting functions on the standard cubical decomposition Rn of the ...
Artículo
Digital homotopy with obstacles
(Elsevier, 2004-04-30)
As a sequel of [4] Ayala, R., E. Dom´ıguez, A. R. Franc´es and A. Quintero, Homotopy in Digital Spaces, Discrete and Applied Mathematics, To Appear, this paper is devoted to the computation of the digital fundamental group ...
Tesis Doctoral