Fundamental theorems of Morse theory on posets

Autor: D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois, J. A. Vilches
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 8, Pp 14922-14945 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022818?viewType=HTML
Popis: 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.
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