Sectional category of subgroup inclusions and sequential topological complexities of aspherical spaces as A-genus
Algebraic Topology
2025-02-18 v2
Abstract
In this paper we characterize the sectional category of subgroup inclusions and the -sequential topological complexity of aspherical spaces of a group G in terms of the A-genus in the sense of Clapp-Puppe and Bartsch for a suitable one-element family of G-spaces A, and we discuss some of the consequences of such characterization, including new ideas about notions of category-like invariants with respect to proper actions of groups.
Keywords
Cite
@article{arxiv.2502.06670,
title = {Sectional category of subgroup inclusions and sequential topological complexities of aspherical spaces as A-genus},
author = {Arturo Espinosa Baro},
journal= {arXiv preprint arXiv:2502.06670},
year = {2025}
}
Comments
Several additions and improvements, a gap in a proof filled. Preliminary version, all comments are welcomed!