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Matematicheskie Zametki, 1976, Volume 19, Issue 6, Pages 863–869 (Mi mzm7808)  
This article is cited in 3 scientific papers (total in 3 papers)

Structure of continuous functions of a completely regular space

V. V. Pashenkov

Moscow Engineering Building Institute
Full-text PDF (557 kB) Citations (3)
Abstract: It is proved that any completely regular topological space is determined up to homeomorphism by the topological lattice (with the topology of pointwise convergence) of all its continuous real-valued functions. The well-known result of Kaplansky (for compact spaces) is a corollary of this theorem.
Received: 21.02.1974
English version:
Mathematical Notes, 1976, Volume 19, Issue 6, Pages 505–508
DOI: https://doi.org/10.1007/BF01149928
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: V. V. Pashenkov, “Structure of continuous functions of a completely regular space”, Mat. Zametki, 19:6 (1976), 863–869; Math. Notes, 19:6 (1976), 505–508
Citation in format AMSBIB
\Bibitem{Pas76}
\by V.~V.~Pashenkov
\paper Structure of continuous functions of a~completely regular space
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 6
\pages 863--869
\mathnet{http://mi.mathnet.ru/mzm7808}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=420544}
\zmath{https://zbmath.org/?q=an:0339.54012|0331.54007}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 6
\pages 505--508
\crossref{https://doi.org/10.1007/BF01149928}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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