English

Completeness and absolute $H$-closedness of topological semilattices

General Topology 2021-11-01 v6

Abstract

We find (completeness type) conditions on topological semilattices X,YX,Y guaranteeing that each continuous homomorphism h:XYh:X\to Y has closed image h(X)h(X) in YY.

Keywords

Cite

@article{arxiv.1702.02791,
  title  = {Completeness and absolute $H$-closedness of topological semilattices},
  author = {Taras Banakh and Serhii Bardyla},
  journal= {arXiv preprint arXiv:1702.02791},
  year   = {2021}
}

Comments

12 pages