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Эта публикация цитируется в 12 научных статьях (всего в 12 статьях)
Some representations connected with ultrafilters and maximal linked systems
Alexander G. Chentsov Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Аннотация:
Ultrafilters and maximal linked systems (MLS) of a lattice of sets are considered. Two following variants of topological equipment are investigated: the Stone and Wallman topologies. These two variants are used both in the case of ultrafilters and for space of MLS. Under Wallman equipment, an analog of superextension is realized. Namely, the space of MLS with topology of the Wallman type is supercompact topological space. By two above-mentioned equipments a bitopological space is realized.
Ключевые слова:
Lattice, Linked system, Ultrafilter.
Образец цитирования:
Alexander G. Chentsov, “Some representations connected with ultrafilters and maximal linked systems”, Ural Math. J., 3:2 (2017), 100–121
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj47 https://www.mathnet.ru/rus/umj/v3/i2/p100
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Страница аннотации: | 256 | PDF полного текста: | 66 | Список литературы: | 45 |
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