Аннотация
We suggest an approach to advance the spectral theory of posets. The validity of the Hofmann-Mislove Theorem is established for posets and a characterization is obtained of the sober topological spaces as spectra of posets with topology. Also we describe the essential completions of topological spaces in terms of spectra of posets with topology. Apart from that, some sufficient conditions are found for two extensions of a topological space to be homeomorphic.
Язык оригинала | английский |
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Страницы (с-по) | 450-463 |
Число страниц | 14 |
Журнал | Siberian Mathematical Journal |
Том | 60 |
Номер выпуска | 3 |
DOI | |
Состояние | Опубликовано - 1 мая 2019 |