• Artículo
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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)
      The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
    • Tesis Doctoral
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      Extensión de la teoría de los continuos en ausencia de compacidad 

      Fernández Bayort, Tomás (2009)
      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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      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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      Generating punctured surface triangulations with degree at least 4 

      Chávez de Diego, María José; Negami, Seiya; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (Ovidius University Press, 2022)
      As a sequel of a previous paper by the authors, we present here a generating theorem for the family of triangulations of ...
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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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      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.
    • Trabajo Fin de Grado
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      Laplacianas de digrafos y topologías de Alexandrov 

      Vela Felardo, María (2018)
      La teoría algebraica de grafos se ocupa de la relación entre las propiedades de la estructura combinatoria de un grafo y ...
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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)
      We introduce and study proper homotopy invariants of the Lusternik-Schnirelmann type, p-cat (-), p-Cat(-), and cat e(-) ...
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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)
      Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of ...
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      Moore spaces in proper homotopy 

      Ayala Gómez, Rafael; Domínguez, E.; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (University of Tsukuba, 1995)
      Moore spaces are de ned in proper homotopy theory. Some results on the existence and uniqueness of those spaces are proven. An example of two non properly equivalent Moore spaces is given.
    • Trabajo Fin de Grado
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      La noción de homotopía para espacios finitos y espacios de Alexandrov 

      Cumplido Caballero, Ana María (2022-06-22)
      El objetivo de este trabajo es detallar la interpretaci´on combinatoria de las equivalencias de homotop´ıa entre espacios ...
    • Trabajo Fin de Grado
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      La noción de variedad en la clase de espacios de Alexandroff. Superficies cerradas y espacios finitos. 

      Barrena Lara, Antonio (2020-06-15)
      Digital topology deals with topological features of 2-D and 3-D digital imagery. Digital images can be represented on a ...
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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)
      We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) ...
    • Ponencia
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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)
      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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      On the connectivity of infinite graphs and 2-complexes 

      Ayala Gómez, Rafael; Chávez de Diego, María José; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (Elsevier, 1999)
      This paper contains a study of the connectivity of infinite graphs and 2-complexes. Various connectivity types are defined ...
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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)
      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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      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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      On the Graphs which are the Edge of a Plane Tiling 

      Ayala Gómez, Rafael; Domínguez, E.; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (Mathematica Scandinavica, 1995)
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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)
      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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      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 ...