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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 10, Pages 28–37
DOI: https://doi.org/10.26907/0021-3446-2019-10-28-37
(Mi ivm9504)
 

This article is cited in 13 scientific papers (total in 13 papers)

Geometrical and topological properties of a subspace $P_f(X)$ of probability measures

A. A. Zaitov

Tashkent Instute of Architecture and Civil Engineering, 13 Navoi str., Tashkent, 100011 Uzbekistan
References:
Abstract: We prove that for a compact $X$ the space $P_{f}(X)$ is an absolute neighbourhood retract if and only if $X$ is an absolute neighbourhood retract. Futher, we demonstrate that a functor $P_{f}$ preserves the property of a compact to be $Q$-manifold or Hilbert cube, preserves the propetry of a map to be absolute neighbourhood retract in a class of compact, to be $Q$-manifold or Hilbetr cube (finite sum of Hilbert cube).
Keywords: propability measure, compact Hausdorff space (compact), retract, $A(N)R$-space.
Received: 05.09.2018
Revised: 15.11.2018
Accepted: 19.12.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 10, Pages 24–32
DOI: https://doi.org/10.3103/S1066369X19100049
Bibliographic databases:
Document Type: Article
UDC: 515.12
Language: Russian
Citation: A. A. Zaitov, “Geometrical and topological properties of a subspace $P_f(X)$ of probability measures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 10, 28–37; Russian Math. (Iz. VUZ), 63:10 (2019), 24–32
Citation in format AMSBIB
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\by A.~A.~Zaitov
\paper Geometrical and topological properties of a subspace $P_f(X)$ of probability measures
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 10
\pages 28--37
\mathnet{http://mi.mathnet.ru/ivm9504}
\crossref{https://doi.org/10.26907/0021-3446-2019-10-28-37}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 10
\pages 24--32
\crossref{https://doi.org/10.3103/S1066369X19100049}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000498483400004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075576440}
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  • https://www.mathnet.ru/eng/ivm/y2019/i10/p28
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:35
    First page:7
     
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