On completeness of H-closed pospaces

Details On completeness of H-closed pospaces On completeness of H-closed pospaces

2010-04-18

arxiv.org/abs/1004.3038v1

Mathematics

General Topology

Scientific paper

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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