Generalized topological complexity and its monoidal version

Fuente: arXiv
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Autore principale: García-Calcines, J. M.
Natura: Preprint
Pubblicazione: 2024
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author García-Calcines, J. M.
author_facet García-Calcines, J. M.
contents In the context of the Lusternik-Schnirelmann category, researcher T. Srinivasan demonstrated that when the space under consideration is an absolute neighborhood retract, its category can be realized through arbitrary subsets, not necessarily open ones. The primary aim of this survey is to illustrate how this result has been extended to the case of topological complexity and its monoidal version, along with some of its most significant implications.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13836
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generalized topological complexity and its monoidal version
García-Calcines, J. M.
Algebraic Topology
55M30, 55M15, 55P99
In the context of the Lusternik-Schnirelmann category, researcher T. Srinivasan demonstrated that when the space under consideration is an absolute neighborhood retract, its category can be realized through arbitrary subsets, not necessarily open ones. The primary aim of this survey is to illustrate how this result has been extended to the case of topological complexity and its monoidal version, along with some of its most significant implications.
title Generalized topological complexity and its monoidal version
topic Algebraic Topology
55M30, 55M15, 55P99
url https://arxiv.org/abs/2405.13836