Sectional category of subgroup inclusions and sequential topological complexities of aspherical spaces as A-genus
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917924224106496 |
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| author | Baro, Arturo Espinosa |
| author_facet | Baro, Arturo Espinosa |
| contents | In this paper we characterize the sectional category of subgroup inclusions and the $r^{th}$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06670 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sectional category of subgroup inclusions and sequential topological complexities of aspherical spaces as A-genus Baro, Arturo Espinosa Algebraic Topology 55M30 (Primary) 68T40, 55P91 (Secondary) In this paper we characterize the sectional category of subgroup inclusions and the $r^{th}$-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. |
| title | Sectional category of subgroup inclusions and sequential topological complexities of aspherical spaces as A-genus |
| topic | Algebraic Topology 55M30 (Primary) 68T40, 55P91 (Secondary) |
| url | https://arxiv.org/abs/2502.06670 |