Amenable category and complexity
Algebraic Topology
2022-09-07 v2 Geometric Topology
Abstract
Amenable category is a variant of the Lusternik-Schnirelman category, based on covers by amenable open subsets. We study the monotonicity problem for degree-one maps and amenable category and the relation between amenable category and topological complexity.
Cite
@article{arxiv.2012.00612,
title = {Amenable category and complexity},
author = {Pietro Capovilla and Clara Loeh and Marco Moraschini},
journal= {arXiv preprint arXiv:2012.00612},
year = {2022}
}
Comments
33 pages; to appear in AGT