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Algebra i logika, 2017, Volume 56, Number 4, Pages 443–452
DOI: https://doi.org/10.17377/alglog.2017.56.404 (Mi al807) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Solimit points and $u$-extensions

Yu. L. Ershovab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia
Full-text PDF (148 kB) Citations (7)
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DOI: https://doi.org/10.17377/alglog.2017.56.404
Abstract: We give a characterization of $u$-extensions of topological $T_0$-spaces and also of sober spaces using a new concept of a solimit point. It is shown that the sobrification of an arbitrary $T_0$-space coincides with its greatest $u$-extension.
Keywords: solimit point, topological $T_0$-space, sober space, sobrification.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05114-а
Supported by RFBR, project No. 15-01-05114-a.
Received: 14.03.2017
English version:
Algebra and Logic, 2017, Volume 56, Issue 4, Pages 295–301
DOI: https://doi.org/10.1007/s10469-017-9450-9
Bibliographic databases:
Document Type: Article
UDC: 515.125
Language: Russian
Citation: Yu. L. Ershov, “Solimit points and $u$-extensions”, Algebra Logika, 56:4 (2017), 443–452; Algebra and Logic, 56:4 (2017), 295–301
Citation in format AMSBIB
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\paper Solimit points and $u$-extensions
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\pages 443--452
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\pages 295--301
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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