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.

Detalles Bibliográficos
Autor: Buzyakova, Raushan
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/227672
Acceso en línea:https://riunet.upv.es/handle/10251/227672
Access Level:acceso abierto
Palabra clave:Topology of point-wise convergence
Topological group
Automorphism
Descripción
Sumario:[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.