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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 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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      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.