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Mathematics of the USSR-Sbornik, 1987, Volume 57, Issue 2, Pages 485–505
DOI: https://doi.org/10.1070/SM1987v057n02ABEH003082 (Mi sm1841) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Trivial bundles of spaces of probability measures

V. V. Fedorchuk
English version PDF (1186 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/SM1987v057n02ABEH003082
Abstract: It is proved that the probability measure functor $P$ carries open mappings $f\colon X\to Y$ of finite-dimensional compact metric spaces with infinite fibers $f^{-1}y$ into $Q$-bundles. If in addition the fibers $f^{-1}y$ do not have isolated points, then it is possible to drop the condition that $X$ be finite-dimensional. Also, necessary and sufficient conditions are given for the mapping $P(f)$ to be a trivial bundle with fiber homeomorphic to a Tychonoff cube in the case of a mapping $f$ onto a dyadic compactum.
Bibliography: 27 titles.
Received: 23.01.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 129(171), Number 4, Pages 473–493
Bibliographic databases:
UDC: 515.12
MSC: Primary 46E27, 54E45, 55R10, 60B05; Secondary 28A33, 54B30, 54B35, 54C10, 54C55, 54C65, 54F45
Language: English
Original paper language: Russian
Citation: V. V. Fedorchuk, “Trivial bundles of spaces of probability measures”, Mat. Sb. (N.S.), 129(171):4 (1986), 473–493; Math. USSR-Sb., 57:2 (1987), 485–505
Citation in format AMSBIB
\Bibitem{Fed86}
\by V.~V.~Fedorchuk
\paper Trivial bundles of spaces of probability measures
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 129(171)
\issue 4
\pages 473--493
\mathnet{http://mi.mathnet.ru/sm1841}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=842396}
\zmath{https://zbmath.org/?q=an:0638.46020|0632.46021}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 57
\issue 2
\pages 485--505
\crossref{https://doi.org/10.1070/SM1987v057n02ABEH003082}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:344
    Russian version PDF:107
    English version PDF:13
    References:59
    First page:2
     
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