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Sbornik: Mathematics, 2008, Volume 199, Issue 2, Pages 159–184
DOI: https://doi.org/10.1070/SM2008v199n02ABEH003914 (Mi sm1504) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Capacity functor in the category of compacta

M. M. Zarichnyiab, O. R. Nykyforchync

a Ivan Franko National University of L'viv
b Rzeszów University
c Vasyl Stefanyk Precarpathian National University
English version PDF (389 kB) Citations (12)
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DOI: https://doi.org/10.1070/SM2008v199n02ABEH003914
Abstract: Spaces of upper-semicontinuous capacities on compacta are studied. It is proved that the capacity functor defines a monad in the category of compacta containing the monad of inclusion hyperspaces as a submonad. In addition, a metrization of the space of capacities of a compact metric space is defined. It is also proved that the capacity functor is open.
Bibliography: 17 titles.
Received: 23.01.2006 and 21.08.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 2, Pages 3–26
DOI: https://doi.org/10.4213/sm1504
Bibliographic databases:
UDC: 515.122.5+517.518.11
MSC: Primary 54B30; Secondary 18B30, 54D30
Language: English
Original paper language: Russian
Citation: M. M. Zarichnyi, O. R. Nykyforchyn, “Capacity functor in the category of compacta”, Mat. Sb., 199:2 (2008), 3–26; Sb. Math., 199:2 (2008), 159–184
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:62
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