Now showing items 1-4 of 4

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      Critical elements of proper discrete Morse functions  [Article]

      Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Editorial Board of Mathematica Pannonica, 2008)
      The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact graphs and surfaces. It is an extension to the non-compact case of the concept of critical simplex ...
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      Discrete Morse inequalities on infinite graphs  [Article]

      Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009)
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      Funciones de Morse discretas sobre complejos infinitos  [Doctoral Thesis]

      Vilches Alarcón, José Antonio (2003)
      Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría de Morse discreta ya estudiados en el caso finito. En un principio, dicho estudio se centrará en ...
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      Lusternik-Schnirelmann category of simplicial complexes and finite spaces  [Article]

      Fernández Ternero, Desamparados; Macías Viirgós, Enrique; Vilches Alarcón, José Antonio (Elsevier, 2015-10)
      In this paper we establish a natural definition of Lusternik-Schnirelmann category for simplicial complexes via the well known notion of contiguity. This simplicial category has the property of being invariant under strong ...