On completeness of H-closed pospaces
General Topology
2017-07-19 v1
Abstract
We generalized the characterization of H-closedness for linearly ordered pospaces as follows: A pospace without an infinite antichain is an H-closed pospace if and only if is a directed complete and down-complete poset such that sup and inf are contained in the closure of for any nonempty chain in .
Keywords
Cite
@article{arxiv.1004.3038,
title = {On completeness of H-closed pospaces},
author = {Tomoo Yokoyama},
journal= {arXiv preprint arXiv:1004.3038},
year = {2017}
}