Min-max theory for cell complexes
Algebraic Topology
2018-11-05 v1
Abstract
In the study of smooth functions on manifolds, min-max theory provides a mechanism for identifying critical values of a function. In this paper we introduce a discretized version of this theory associated to a discrete Morse function on a (regular) cell complex. As applications we prove a discrete version of the Mountain Pass Lemma and give an alternate proof of a discrete Lusternik-Schnirelmann Theorem.
Cite
@article{arxiv.1811.00719,
title = {Min-max theory for cell complexes},
author = {Lacey Johnson and Kevin Knudson},
journal= {arXiv preprint arXiv:1811.00719},
year = {2018}
}
Comments
10 pages, 2 figures