On Topological Groups of Automorphisms

Fuente: arXiv
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Main Author: Buzyakova, Raushan
Format: Preprint
Published: 2024
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author Buzyakova, Raushan
author_facet Buzyakova, Raushan
contents We study spaces $X$ for which the space $Hom_p(X)$ of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces $X$ for which $Hom_p(X)$ is or is not a topological group.
format Preprint
id arxiv_https___arxiv_org_abs_2406_14771
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Topological Groups of Automorphisms
Buzyakova, Raushan
General Topology
Group Theory
54H11, 54C10
We study spaces $X$ for which the space $Hom_p(X)$ of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces $X$ for which $Hom_p(X)$ is or is not a topological group.
title On Topological Groups of Automorphisms
topic General Topology
Group Theory
54H11, 54C10
url https://arxiv.org/abs/2406.14771