On the sectional category of subgroup inclusions and Adamson cohomology theory

被引：3

作者：

Blaszczyk, Zbigniew ^{[1
]}

Carrasquel-Vera, Jose Gabriel ^{[1
]}

Baro, Arturo Espinosa ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-60479 Poznan, Poland

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2022年 / 226卷 / 06期

关键词：

Adamson cohomology; Sectional category; Topological complexity; LUSTERNIK-SCHNIRELMANN CATEGORY; MOTION;

D O I：

10.1016/j.jpaa.2021.106959

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The sectional category of a subgroup inclusion H hooked right arrow G can be defined as the sectional category of the corresponding map between Eilenberg-MacLane spaces. We extend a characterization of topological complexity of aspherical spaces given by Farber, Grant, Lupton and Oprea to the context of sectional category of subgroup inclusions and investigate it by means of Adamson cohomology theory. (C) 2021 The Author(s). Published by Elsevier B.V.

引用

页数：18

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