English

Topological spaces satisfying a closed graph theorem

General Topology 2024-04-05 v2

Abstract

We discuss topological versions of the closed graph theorem, where continuity is inferred from near continuity in tandem with suitable conditions on source or target spaces. We seek internal characterizations of spaces satisfying a closed graph theorem, and we compare closed graph and open mapping spaces.

Keywords

Cite

@article{arxiv.2403.03904,
  title  = {Topological spaces satisfying a closed graph theorem},
  author = {Dominikus Noll},
  journal= {arXiv preprint arXiv:2403.03904},
  year   = {2024}
}
R2 v1 2026-06-28T15:11:19.315Z