Listar Artículos (Geometría y Topología) por autor "Ayala Gómez, Rafael"
Mostrando ítems 1-12 de 12
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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 ...
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A note on the homotopical characterization of Rn
(Universitat de Barcelona, 1992)This note gives conditions which assure that the one-point compactification of an open manifold is a manifold. This result is used to show that the homotopical characterization of Rn (n ≥ 4) can be derived from the Poincaré Conjecture.
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Approximation axiomatique à la théorie du bordisme
(Université de Picardie Jules Verne, 1989)This paper gives an axiomatical approximation to Bordism Theory. It proves those properties of a geometrical nature that a class of models must satisfy to develop a bordism theory in an abstract category.
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Critical elements of proper discrete Morse functions
(Editorial Board of Mathematica Pannonica, 2008)The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact ...
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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 ...
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Exponential law for uniformly continous proper maps
(Universitat Autònoma de Barcelona, 1988)The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
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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 ...
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Lusternik-Schnirelmann invariants in proper homotopy theory
(University of California, 1992)We introduce and study proper homotopy invariants of the Lusternik-Schnirelmann type, p-cat (-), p-Cat(-), and cat e(-) ...
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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.
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Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(Elsevier, 2019-04-01)We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, ...
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The equivariant category of proper G-Spaces
(Rocky Mountain Mathematics Consortium, 2001)