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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 3, Pages 587–605 (Mi smj1199)  
This article is cited in 5 scientific papers (total in 5 papers)

Gamma-compactification of measurable spaces

A. I. Zhdanok

Tyva State University
Full-text PDF (302 kB) Citations (5)
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Abstract: We define the gamma-compactification of an arbitrary measurable space and study its structure and properties in the general and topological cases. We introduce and study the notion of gamma-extension of a singleton in a topological space. We consider the procedure of extension of finitely additive measures from the original space to regular countably additive measures on the gamma-compactification of the space.
Keywords: compactification of measurable space, compactification of topological space, one-point compactification, finitely additive measure, purely finitely additive measure, countably additive measure, extension of measure.
Received: 13.03.2001
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 3, Pages 463–476
DOI: https://doi.org/10.1023/A:1023812814694
Bibliographic databases:
UDC: 515.122:517.987
Language: Russian
Citation: A. I. Zhdanok, “Gamma-compactification of measurable spaces”, Sibirsk. Mat. Zh., 44:3 (2003), 587–605; Siberian Math. J., 44:3 (2003), 463–476
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 3
\pages 463--476
\crossref{https://doi.org/10.1023/A:1023812814694}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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