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:2018
Main Author: Yokoyama, Tomoo
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/748
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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