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Listar Geometría y Topología por autor "Ayala Gómez, Rafael"
Mostrando ítems 1-17 de 17
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Artículo
A digital index theorem
Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Ayala Gómez, Rafael; Quintero Toscano, Antonio Rafael (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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Artículo
A note on the homotopical characterization of Rn
Ayala Gómez, Rafael; Quintero Toscano, Antonio Rafael (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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Artículo
Approximation axiomatique à la théorie du bordisme
Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Quintero Toscano, Antonio Rafael (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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Tesis Doctoral
Aproximación axiomática a las teorías de cobordismo
Ayala Gómez, Rafael (1982) -
Artículo
Critical elements of proper discrete Morse functions
Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (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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Ponencia
Desigualdades de Morse generalizadas sobre grafos
Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Alberto Márquez, 2002) -
Artículo
Digital homotopy with obstacles
Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Quintero Toscano, Antonio Rafael (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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Artículo
Discrete Morse inequalities on infinite graphs
Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009) -
Artículo
Exponential law for uniformly continous proper maps
Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Quintero Toscano, Antonio Rafael (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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Tesis Doctoral
Funciones de Morse discretas sobre complejos infinitos
Vilches Alarcón, José Antonio (2003)Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ...
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Artículo
Homotopy in digital spaces
Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Quintero Toscano, Antonio Rafael (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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Artículo
Lusternik-Schnirelmann invariants in proper homotopy theory
Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (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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Ponencia
On surfaces in digital topology
Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Quintero Toscano, Antonio Rafael; Rubio Sender, Julio (1995)In R. Ayala, E. Domínguez, A.R. Francés, A. Quintero, J. Rubio. A Polyhedral Approach to Digital Topology a new framework ...
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Artículo
On the connectivity of skeletons of pseudomanifolds with boundary
Ayala Gómez, Rafael; Chávez de Diego, María José; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (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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Artículo
On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor
Ayala Gómez, Rafael; Chávez de Diego, María José; Quintero Toscano, Antonio Rafael (Institute of Mathematics, Polish Academy of Sciences, 1998)We extend a theorem of S. Claytor in order to characterize the Peano generalized continua which are embeddable into the ...
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Artículo
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
Ayala Gómez, Rafael; Bernal González, Luis; Calderón Moreno, María del Carmen; Vilches Alarcón, José Antonio (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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Artículo
The equivariant category of proper G-Spaces
Ayala Gómez, Rafael; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael (Rocky Mountain Mathematics Consortium, 2001)