On the relation between completeness and H-closedness of pospaces without infinite antichains

We study the relation between completeness and H-closedness for topological partially ordered spaces. In general, a topological partially ordered space with an infinite antichain which is even directed complete and down-directed complete, is not H-closed. On the other hand, for a topological partial...

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Bibliographic Details
Date:2013
Main Author: Yokoyama, T.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2013
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152296
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the relation between completeness and H-closedness of pospaces without infinite antichains / T. Yokoyama // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 287–294. — Бібліогр.: 3 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine