Initial \lambda-compactness in linearly ordered spaces
General Topology
2013-07-05 v3
Abstract
We show that a linearly ordered topological space is initially \lambda-compact if and only if it is \lambda-bounded, that is, every set of cardinality has compact closure. As a consequence, every product of initially \lambda-compact linearly ordered topological spaces is initially \lambda-compact.
Cite
@article{arxiv.1306.1715,
title = {Initial \lambda-compactness in linearly ordered spaces},
author = {Paolo Lipparini},
journal= {arXiv preprint arXiv:1306.1715},
year = {2013}
}
Comments
v.3 simplified the proof of (4) implies (5) in the Theorem