English

On linearly ordered $H$-closed topological semilattices

Group Theory 2008-11-24 v1 General Topology

Abstract

We give a criterium when a linearly ordered topological semilattice is HH-closed. We also prove that any linearly ordered HH-closed topological semilattice is absolutely HH-closed and we show that every linearly ordered semilattice is a dense subsemilattice of an HH-closed topological semilattice.

Keywords

Cite

@article{arxiv.0804.1438,
  title  = {On linearly ordered $H$-closed topological semilattices},
  author = {Oleg Gutik and Dušan Repovš},
  journal= {arXiv preprint arXiv:0804.1438},
  year   = {2008}
}
R2 v1 2026-06-21T10:29:08.979Z