On completeness of H-closed pospaces

Tomoo Yokoyama

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arXiv · 1004.3038

On completeness of H-closed pospaces

Tomoo Yokoyama

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Abstract

We generalized the characterization of H-closedness for linearly ordered pospaces as follows: A pospace $X$ without an infinite antichain is an H-closed pospace if and only if $X$ is a directed complete and down-complete poset such that sup $L$ and inf $L$ are contained in the closure of $L$ for any nonempty chain $L$ in $X$.

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BibTeX RIS

Tomoo Yokoyama. 2010-04-18. On completeness of H-closed pospaces. https://arxiv.org/abs/1004.3038

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