Artículo
Fundamental theorems of Morse theory on posets
Autor/es | Fernández Ternero, Desamparados
Macías Virgos, Enrique Mosquera Lois, David Vilches Alarcón, José Antonio |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2022-01-13 |
Fecha de depósito | 2023-04-14 |
Publicado en |
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Resumen | We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using these results we extend Forman's discrete Morse theory to more general cell complexes and derive the ... We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using these results we extend Forman's discrete Morse theory to more general cell complexes and derive the Morse-Pitcher inequalities in that context. |
Cita | Fernández Ternero, D., Macías Virgos, E., Mosquera Lois, D. y Vilches Alarcón, J.A. (2022). Fundamental theorems of Morse theory on posets. AIMS Mathematics, 7 (8), 14922-14945. https://doi.org/10.3934/math.2022818. |
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