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Browsing Artículos (Geometría y Topología) by Author "Quintero Toscano, Antonio Rafael"
Now showing items 1-20 of 26
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Article
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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Article
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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Article
A topological equivalence relation for finitely presented groups
Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Roy, R. (ScienceDirect, 2020-01-07)In this paper, we consider an equivalence relation within the class of finitely presented discrete groups attending to ...
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Article
Algunos resultados sobre el bordismo de variedades de homología
Quintero Toscano, Antonio Rafael (Real Academia de Ciencias Exactas, Físicas y Naturales, 1987)En este artículo probamos que las variedades de homología (HML-variedades) definen una teoría de bordismo singular que es ...
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Article
Amalgamated products and properly 3-realizable groups
Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (Elsevier, 2007-01)In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and ...
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Article
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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Article
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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Article
Doble suspensión de bolas de homología
Quintero Toscano, Antonio Rafael (Real Academia de Ciencias Exactas, Físicas y Naturales, 1986)Extendemos los teoremas de doble suspensión de Edwards y Cannon a ciertas bolas de homología simplemente conexas. Como ...
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Article
Un ejemplo de teoría de bordismo equivalente al PL-bordismo
Quintero Toscano, Antonio Rafael (Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 1983)In this paper we define the CPL-manifolds and we prove, by using a desingularization procedure, that these objects give a ...
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Article
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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Article
Generating families of surface triangulations. The case of punctured surfaces with inner degree at least 4
Chávez de Diego, María José; Negami, Seiya; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (2015)We present two versions of a method for generating all triangulations of any punctured surface in each of these two families: ...
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Article
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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Article
Irreducible triangulations of the Möbius band
Chávez de Diego, María José; Lawrencenko, Serge; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2014)A complete list of irreducible triangulations is identified on the Möbius band.
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Article
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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Article
Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces
Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael (Belgian Mathematical Society, 2002-09)Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of ...
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Article
On manifolds with nonhomogeneous factors
Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (Springer, 2012-06)We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) ...
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Article
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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Article
On the Freudenthal extensions of proper confluent maps
Charatonik, Wlodzimierz J; Fernández Bayort, Tomás; Quintero Toscano, Antonio Rafael (University of Houston, 2012)In this paper we study when Freudenthal extensions of proper maps preserve the (weak, semi) confluency. Also the extensions to the Alexandroff one-point compactificaton are considered.
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Article
On the locally finite chain algebra of a proper homotopy type
Baues, Hans Joachim; Quintero Toscano, Antonio Rafael (Belgian Mathematical Society, 1996)In the classical paper [A-H] Adams-Hilton constructed a free chain algebra which is an important algebraic model of a ...
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Article
On the topology of locally 2-connected Peano continua
Chávez de Diego, María José; Fernández Bayort, Tomás; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (Rocky Mountain Mathematics Consortium, 2012)Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica ...