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      Fundamental theorems of Morse theory on posets 

      Fernández Ternero, Desamparados; Macías Virgos, Enrique; Mosquera Lois, David; Vilches Alarcón, José Antonio (AIMS, 2022-01-13)
      We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using ...
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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 ...