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

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Yokoyama, T.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152296
• 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.

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...