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Matematicheskie Zametki, 2022, Volume 111, Issue 6, Pages 904–920
DOI: https://doi.org/10.4213/mzm13342 (Mi mzm13342) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On $Z$-Sets in the Space of Idempotent Probability Measures

Kh. Kholturaev

Tashkent Institute of Irrigation and Agricultural Mechanization Engineers
Full-text PDF (532 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13342
Abstract: It is shown that the spaces of probability measures and of idempotent probability measures on the same metrizable compact space are homeomorphic. An example is given which shows that the functor of probability measures differs from that of idempotent probability measures. A criterion for the metrizability of a compact Hausdorff space in terms of the functor of idempotent probability measures is obtained. Subspaces of spaces of idempotent probability measures that are $Z$-sets are distinguished.
Keywords: space of probability measures, space of idempotent probability measures, functor of idempotent probability measures, Hilbert cube, Z-set.
Received: 31.10.2021
Revised: 27.01.2022
English version:
Mathematical Notes, 2022, Volume 111, Issue 6, Pages 940–953
DOI: https://doi.org/10.1134/S0001434622050285
Bibliographic databases:
Document Type: Article
UDC: 515.12
PACS: 28A33
Language: Russian
Citation: Kh. Kholturaev, “On $Z$-Sets in the Space of Idempotent Probability Measures”, Mat. Zametki, 111:6 (2022), 904–920; Math. Notes, 111:6 (2022), 940–953
Citation in format AMSBIB
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\by Kh.~Kholturaev
\paper On~$Z$-Sets in the Space of Idempotent Probability Measures
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 6
\pages 904--920
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\crossref{https://doi.org/10.4213/mzm13342}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461318}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 6
\pages 940--953
\crossref{https://doi.org/10.1134/S0001434622050285}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132891097}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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