On topological groups of automorphisms
Submitted: 2024-06-21
|Accepted: 2025-03-22
|Published: 2025-10-01
Copyright (c) 2025 Raushan Buzyakova
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
topology of point-wise convergence, topological group, automorphism
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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.
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