On topological groups of automorphisms

[EN] 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.

Bibliographic Details
Author: Buzyakova, Raushan
Format: article
Publication Date:2025
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/227672
Online Access:https://riunet.upv.es/handle/10251/227672
Access Level:Open access
Keyword:Topology of point-wise convergence
Topological group
Automorphism
Description
Summary:[EN] 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.