2020/07/24 by D. Fernández-Ternero, E. Macías–Virgós, Fernández-Ternero, D. +8
Computer Science · Mathematics · #37B35 #57R70 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Computer science #Discrete Morse theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Morse code #Morse theory #Pure mathematics #Topological and Geometric Data Analysis #math.AT #math.CO #msc:37B35 #msc:57R70
paper · pdf · doi:10.48550/arxiv.2007.13565
arXiv admin note: text overlap with arXiv:2002.06933
arxiv created 2020/07/24 · openalex publication_date 2020/07/24 · arxiv updated 2020/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop Morse-Bott theory on posets, generalizing both discrete Morse-Bott theory for regular complexes and Morse theory on posets. Moreover, we prove a Lusternik-Schnirelmann theorem for general matchings on posets, in particular, for Morse-Bott functions.