To the Spectral Theory of Partially Ordered Sets Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2019, Volume: 60, Number: 3, Pages: 450-463 Pages count : 14 DOI: 10.1134/S003744661903008X | ||||
| Tags | essential completion; Hofmann-Mislove theorem; ideal; poset; sober space; spectrum | ||||
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Abstract:
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. © 2019, Pleiades Publishing, Inc.
Cite:
Ershov Y.L.
, Schwidefsky M.V.
To the Spectral Theory of Partially Ordered Sets
Siberian Mathematical Journal. 2019. V.60. N3. P.450-463. DOI: 10.1134/S003744661903008X WOS Scopus OpenAlex
To the Spectral Theory of Partially Ordered Sets
Siberian Mathematical Journal. 2019. V.60. N3. P.450-463. DOI: 10.1134/S003744661903008X WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000471617300008?SID=EUW1ED0B4CkKJV9WwBSheBLsOD4LZ |
| Scopus: | 2-s2.0-85067308553 |
| OpenAlex: | W2952249718 |