Data

NameQuintero Toscano, Antonio Rafael
DepartmentGeometría y Topología
Knowledge areaGeometría y Topología
Professional categoryProfesor Titular de Universidad
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  Statistics

  • Items

    34

  • Visits

    2889

  • Downloads

    2664

  Publications

 

Final Degree Work
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Laplacianas de digrafos y topologías de Alexandrov

Quintero Toscano, Antonio Rafael; Vela Felardo, María (2018-01-01)
La teoría algebraica de grafos se ocupa de la relación entre las propiedades de la estructura combinatoria de un grafo y ...
Final Degree Work
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La categoría de Lusternik-Schnirelmann de los espacios finitos. Enunciado y discusión de un problema

Quintero Toscano, Antonio Rafael; Vilches Alarcón, José Antonio; Pavón Díaz, Álvaro (2016-01-01)
El trabajo presenta el invariante homotópico conocido como categoría de Lusternik-Schnirelmann (categoría LS, para ...
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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 (2015-01-01)
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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Irreducible triangulations of the Möbius band

Chávez de Diego, María José; Lawrecenko, Serge; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2014-01-01)
A complete list of irreducible triangulations is identified on the Möbius band.
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The Freudenthal compactification of tree-like generalized continua

Charatonik, Wlodzimierz J; Fernández Bayort, Tomás; Quintero Toscano, Antonio Rafael (Auburn University, 2013-01-01)
Tree-likeness of generalized continua is defined by means of inverse limits of locally finite trees with proper bonding ...
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On manifolds with nonhomogeneous factors

Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (Springer, 2012-06-01)
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) ...
Presentation
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A new kind of irreducible triangulations of the Möbius band

Chávez de Diego, María José; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (2012-01-01)
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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, 2012-01-01)
Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica ...
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On the Freudenthal extensions of proper confluent maps

Charatonik, Wlodzimierz J; Fernández Bayort, Tomás; Quintero Toscano, Antonio Rafael (University of Houston, 2012-01-01)
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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Strong separating (k, k)−surfaces on Z3

Ciria Cosculluela, José; Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Quintero Toscano, Antonio Rafael (Universidad de Sevilla, 2010-01-01)
For each adjacency pair (k, k) != (6, 6), k, k ∈ {6, 18, 26}, we introduce a new family Skk of surfaces in the discrete ...
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One-relator groups and proper 3-realizability

Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (European Mathematical Society, 2009-01-01)
How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? ...
PhD Thesis
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Extensión de la teoría de los continuos en ausencia de compacidad

Quintero Toscano, Antonio Rafael; Fernández Bayort, Tomás (2009-01-01)
Esta Memoria es una contribución al estudio de las propiedades topogeométricas de los continuos generalizados; es decir, espacios métricos separables, conexos y localmente compactos.
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Amalgamated products and properly 3-realizable groups

Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (Elsevier, 2007-01-01)
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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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 ...
PhD Thesis
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Teoría de representaciones, invariantes cohomológicos y tipos de homotopía propia

Quintero Toscano, Antonio Rafael; Muro Jiménez, Fernando (2004-01-01)
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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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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, 2002-09-01)
Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of ...
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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, 2002-01-01)
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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A digital index theorem

Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Ayala Gómez, Rafael; Quintero Toscano, Antonio Rafael (World Scientific Publishing, 2001-11-01)
This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f ...
PhD Thesis
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La sucesión de fibración homotópica de K-teorías asociada a la localización de categorías exactas

Quintero Toscano, Antonio Rafael; Cárdenas Escudero, Manuel Enrique (2001-01-01)
En la tesis que se presenta se extienden fundamentalmente algunos resultados y metodologías de mediados de los años 80 y ...
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The equivariant category of proper G-Spaces

Ayala Gómez, Rafael; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael (Rocky Mountain Mathematics Consortium, 2001-01-01)
PhD Thesis
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Un estudio de la conectividad y planaridad de grafos y 2-complejos infinitos en el marco de la topología general

Quintero Toscano, Antonio Rafael; Chávez de Diego, María José (1998-01-01)
"El lenguaje de la topología general permite formular precisa y concisamente numerosos problemas bajo un punto de vista ...
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On the locally finite chain algebra of a proper homotopy type

Baues, Hans Joachim; Quintero Toscano, Antonio Rafael (Belgian Mathematical Society, 1996-01-01)
In the classical paper [A-H] Adams-Hilton constructed a free chain algebra which is an important algebraic model of a ...
Presentation
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On surfaces in digital topology

Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Quintero Toscano, Antonio Rafael; Rubio Sender, Julio (1995-01-01)
In R. Ayala, E. Domínguez, A.R. Francés, A. Quintero, J. Rubio. A Polyhedral Approach to Digital Topology a new framework ...
PhD Thesis
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Algoritmos de cálculo de homología efectiva de los espacios clasificantes

Quintero Toscano, Antonio Rafael; Sergeraert, Francis; Real Jurado, Pedro (1993-01-01)
El propósito esencial de esta memoria es el de describir varios algoritmos de cálculo de homología efectiva de los espacios ...
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A note on the homotopical characterization of Rn

Ayala Gómez, Rafael; Quintero Toscano, Antonio Rafael (Universitat de Barcelona, 1992-01-01)
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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Lusternik-Schnirelmann invariants in proper homotopy theory

Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (University of California, 1992-01-01)
We introduce and study proper homotopy invariants of the Lusternik-Schnirelmann type, p-cat (-), p-Cat(-), and cat e(-) ...
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Approximation axiomatique à la théorie du bordisme

Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Quintero Toscano, Antonio Rafael (Université de Picardie Jules Verne, 1989-01-01)
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.
PhD Thesis
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Bordismo seccional de fibrados y submersiones

Domínguez Murillo, Eladio; Quintero Toscano, Antonio Rafael; Arrabal Parrilla, Juan José (1988-12-16)
El objeto de este trabajo es sistematizar una técnica que intenta atacar el problema de existencia de secciones de funciones ...
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Exponential law for uniformly continous proper maps

Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Quintero Toscano, Antonio Rafael (Universitat Autònoma de Barcelona, 1988-01-01)
The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
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Algunos resultados sobre el bordismo de variedades de homología

Quintero Toscano, Antonio Rafael (Real Academia de Ciencias Exactas, Físicas y Naturales, 1987-01-01)
En este artículo probamos que las variedades de homología (HML-variedades) definen una teoría de bordismo singular que es ...
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Doble suspensión de bolas de homología

Quintero Toscano, Antonio Rafael (Real Academia de Ciencias Exactas, Físicas y Naturales, 1986-01-01)
Extendemos los teoremas de doble suspensión de Edwards y Cannon a ciertas bolas de homología simplemente conexas. Como ...
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Un ejemplo de teoría de bordismo equivalente al PL-bordismo

Quintero Toscano, Antonio Rafael (Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 1983-01-01)
In this paper we define the CPL-manifolds and we prove, by using a desingularization procedure, that these objects give a ...
PhD Thesis
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Algunos aspectos de las variedades de homología

Domínguez Murillo, Eladio; Quintero Toscano, Antonio Rafael (1982-01-01)