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Mathematics of the USSR-Izvestiya, 1991, Volume 36, Issue 2, Pages 411–433
DOI: https://doi.org/10.1070/IM1991v036n02ABEH002028 (Mi im1100) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Triples of infinite iterates of metrizable functors

V. V. Fedorchuk
English version PDF (1049 kB) Citations (18)
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DOI: https://doi.org/10.1070/IM1991v036n02ABEH002028
Abstract: The concepts of metrizable, uniformly metrizable, and perfectly metrizable functors are introduced. The triple $\mathscr F^+$, $\mathscr F^{++}$, $\mathscr F^\omega$ of infinite iterates of a perfectly metrizable functor $\mathscr F$ is defined. The geometric properties of such triples are investigated for the continuous hyperspace functor and the probability measure functor.
Received: 21.07.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 2, Pages 396–417
Bibliographic databases:
UDC: 515.12
MSC: Primary 54B30, 54E45, 54E50; Secondary 54B20, 54C50, 54F25
Language: English
Original paper language: Russian
Citation: V. V. Fedorchuk, “Triples of infinite iterates of metrizable functors”, Izv. Akad. Nauk SSSR Ser. Mat., 54:2 (1990), 396–417; Math. USSR-Izv., 36:2 (1991), 411–433
Citation in format AMSBIB
\Bibitem{Fed90}
\by V.~V.~Fedorchuk
\paper Triples of infinite iterates of metrizable functors
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 2
\pages 396--417
\mathnet{http://mi.mathnet.ru/im1100}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1062520}
\zmath{https://zbmath.org/?q=an:0715.54005}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..36..411F}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 36
\issue 2
\pages 411--433
\crossref{https://doi.org/10.1070/IM1991v036n02ABEH002028}
Linking options:
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  • https://doi.org/10.1070/IM1991v036n02ABEH002028
  • https://www.mathnet.ru/eng/im/v54/i2/p396
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:438
    Russian version PDF:181
    English version PDF:16
    References:59
    First page:3
     
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