• Artículo
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      Lusternik-Schnirelmann category of simplicial complexes and finite spaces 

      Fernández Ternero, Desamparados; Macías Virgós, 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 ...
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      Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem 

      Fernández Ternero, Desamparados; Macías Virgós, Enrique; Mosquera Lois, David; Vilches Alarcón, José Antonio (World Scientific Publishing Company, 2021)
      We develop Morse–Bott theory on posets, generalizing both discrete Morse–Bott theory for regular complexes and Morse ...
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      Simplicial Lusternik-Schnirelmann category 

      Fernández Ternero, Desamparados; Macías Virgós, Enrique; Minuz, Erica; Vilches Alarcón, José Antonio (Universidad Autónoma de Barcelona, 2019-01-01)
      The simplicial LS-category of a nite abstract simplicial complex is a new invariant of the strong homotopy type, de ned ...