Locally upper bounded poset-valued maps and stratifiable spaces
General Topology
2020-03-02 v1
Abstract
In this paper, we characterize stratifiable (or semi-stratifiable) spaces, and monotonically countably paracompact (or monotonically countably metacompact) spaces by expansions of locally upper bounded semi-continuous poset-valued maps. These extend earlier results for real-valued Locally bounded functions.
Cite
@article{arxiv.2002.12742,
title = {Locally upper bounded poset-valued maps and stratifiable spaces},
author = {Ying-Ying Jin and Li-Hong Xie and Han-Biao Yang},
journal= {arXiv preprint arXiv:2002.12742},
year = {2020}
}
Comments
15 pages