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On completeness of H-closed pospaces | | Tomoo Yokoyama
; | | Date: |
18 Apr 2010 | | 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 $X$. | | Source: | arXiv, 1004.3038 | | Services: | Forum | Review | PDF | Favorites | |
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