Lusternik-Schnirelmann theory to Topological Complexity from $A_{\infty}$-view point
Algebraic Topology
2022-08-17 v1
Abstract
We are trying to look over the Lusternik-Schnirelmann theory (L-S theory, for short) and the Topological Complexity (TC, for short) as a natural extension of the L-S theory. In particular, we focus on the impact of the ideas originated from E. Fadell and S. Husseini on both theories. More precisely, we see how their ideas on a category weight and a relative category drive the L-S theory and the TC.
Cite
@article{arxiv.2208.07545,
title = {Lusternik-Schnirelmann theory to Topological Complexity from $A_{\infty}$-view point},
author = {Norio Iwase},
journal= {arXiv preprint arXiv:2208.07545},
year = {2022}
}
Comments
20 pages survey