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arXiv · 2002.12742

Locally upper bounded poset-valued maps and stratifiable spaces

Ying-Ying Jin·Li-Hong Xie·Han-Biao Yang
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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.

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Ying-Ying Jin, Li-Hong Xie, Han-Biao Yang. 2020-02-28. Locally upper bounded poset-valued maps and stratifiable spaces. https://arxiv.org/abs/2002.12742

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