English

On Topological Groups of Automorphisms

General Topology 2024-06-28 v2 Group Theory

Abstract

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

Keywords

Cite

@article{arxiv.2406.14771,
  title  = {On Topological Groups of Automorphisms},
  author = {Raushan Buzyakova},
  journal= {arXiv preprint arXiv:2406.14771},
  year   = {2024}
}
R2 v1 2026-06-28T17:14:09.226Z