English

On Topological Groups of Automorphisms on Unions

General Topology 2023-12-29 v1

Abstract

We study groups of homeomorphic bijections on spaces that are finite unions of compact connected linearly ordered subsets. We prove that all such groups when endowed with the topology of point-wise convergence are topological groups. }

Keywords

Cite

@article{arxiv.2312.16398,
  title  = {On Topological Groups of Automorphisms on Unions},
  author = {Raushan Buzyakova},
  journal= {arXiv preprint arXiv:2312.16398},
  year   = {2023}
}