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

• Дата: 2018
• Автор: Yokoyama, Tomoo
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: H-closed; pospace; directed complete; Primary 06A06; 06F30; Secondary 54F05; 54H12
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/748
• Назва журналу: Algebra and Discrete Mathematics

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...