Morse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem
arXiv:2007.13565
Abstract
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.
arXiv admin note: text overlap with arXiv:2002.06933