Twisted products: Enveloping actions and equivariant absolute neighborhood extensors

Fuente: arXiv
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Auteurs principaux: Martínez, Luis, Pinedo, Héctor
Format: Preprint
Publié: 2023
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author Martínez, Luis
Pinedo, Héctor
author_facet Martínez, Luis
Pinedo, Héctor
contents The classical notion of twisted product is studied in the context of partial actions, in particular, we show that the globalization of a partial action is a twisted product. In addition, we establish conditions for the metrizability of twisted products, and some homotopy and categorical properties are proved. Furthermore, sufficient conditions for the enveloping space to be an equivariant absolute neighborhood extensor are also studied.
format Preprint
id arxiv_https___arxiv_org_abs_2401_00509
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Twisted products: Enveloping actions and equivariant absolute neighborhood extensors
Martínez, Luis
Pinedo, Héctor
General Topology
Dynamical Systems
The classical notion of twisted product is studied in the context of partial actions, in particular, we show that the globalization of a partial action is a twisted product. In addition, we establish conditions for the metrizability of twisted products, and some homotopy and categorical properties are proved. Furthermore, sufficient conditions for the enveloping space to be an equivariant absolute neighborhood extensor are also studied.
title Twisted products: Enveloping actions and equivariant absolute neighborhood extensors
topic General Topology
Dynamical Systems
url https://arxiv.org/abs/2401.00509