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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.
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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 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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      Perfect discrete Morse functions on 2-complexes 

      Ayala Gómez, Rafael; Fernández Ternero, Desamparados; Vilches Alarcón, José Antonio (Universidad de Sevilla, 2010)
      This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete ...
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      Proper Homotopy Classification of Graphs 

      Ayala Gómez, Rafael; Domínguez, E.; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (London Mathematical Society, 1990)
      This work presents a classification of the proper homotopy types of locally finite 1-dimensional CW-complexes.
    • Trabajo Fin de Grado
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      Sobre las diferentes nociones topológicas de complejo y algunas de sus aplicaciones 

      Núñez de Arco Valenzuela, Laura (2016-12)
      The main goal of this work is to introduce the different kinds of combinatorial structures used in topological data ...
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      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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      The equivariant category of proper G-Spaces 

      Ayala Gómez, Rafael; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael (Rocky Mountain Mathematics Consortium, 2001)
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      Topologías en el plano digital 

      López Carmona, José Luis (2022-06-24)
      In this work we present the basic properties of the Khalimsky topology on Z 2 . This topology is compared with the ...