Morse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem
Algebraic Topology
2020-07-28 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2007.13565,
title = {Morse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem},
author = {D. Fernández-Ternero and E. Macías-Virgós and D. Mosquera-Lois and J. A. Vilches},
journal= {arXiv preprint arXiv:2007.13565},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2002.06933