子群包含的截面范畴及其作为A-范数的一族G空间的正手性空间的序列拓扑复杂性
代数拓扑
2025-02-18 v2
摘要
本文以Clapp-Puppe和Bartsch所著的A-范数概念，针对 suitable one-element family of G-spaces A，表征子群包含的截面范畴以及群G的正手性空间的r^{th}-sequential 拓扑复杂性，并讨论了此类表征的一些后果，包括关于群proper actions的范畴类不变式的新想法。
引用
@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}
}
备注
Several additions and improvements, a gap in a proof filled. Preliminary version, all comments are welcomed!