On topological groups of automorphisms

We study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.

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Publication Details

Journal
Applied General Topology
Published
2025-10-01
DOI
https://doi.org/10.4995/agt.2025.21941
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
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article

On topological groups of automorphisms

Raushan Z. Buzyakova
Applied General Topology
Advanced Topology and Set Theory
article

On topological groups of automorphisms

Raushan Z. Buzyakova
article en

Abstract

We study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.

Applied General TopologyVol. 26(2)
Polk State College (US)
Openalex Percentile: Top 67%
Advanced Topology and Set Theory
DOIOpen Access PDFOpenAlex
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On topological groups of automorphisms — Raushan Z. Buzyakova · Applied General Topology (2025) | TGRS Research Map | TGRS