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Matematicheskie Zametki, 1992, Volume 52, Issue 3, Pages 108–116 (Mi mzm4706)  

This article is cited in 1 scientific paper (total in 1 paper)

On spaces of Baire I functions over $K$-analytic spaces

E. G. Pytkeev

Institute of Mathematics and Mechanics, Ural Branch of the AS of USSR
Abstract: Suppose that $\mathscr{F}$ is a relatively countably compact subset of $B_1(X)$, the space of Baire I functions over a $K$-analytic space $X$ equipped with the pointwise convergence topology. It is proved that (1) the closure of $\mathscr{F}$ is a strongly countably compact Frechйt–Urysohn space; (2) if $\mathscr{F}$ is $\aleph_1$-compact, $\mathscr{F}$ is a bicompactum; (3) if $X$ is a paracompact space, the closure of $\mathscr{F}$ is a bicompactum.
Received: 26.04.1989
English version:
Mathematical Notes, 1992, Volume 52, Issue 3, Pages 953–959
DOI: https://doi.org/10.1007/BF01209616
Bibliographic databases:
UDC: 515.12
Language: Russian
Citation: E. G. Pytkeev, “On spaces of Baire I functions over $K$-analytic spaces”, Mat. Zametki, 52:3 (1992), 108–116; Math. Notes, 52:3 (1992), 953–959
Citation in format AMSBIB
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\by E.~G.~Pytkeev
\paper On spaces of Baire I functions over $K$-analytic spaces
\jour Mat. Zametki
\yr 1992
\vol 52
\issue 3
\pages 108--116
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1194134}
\zmath{https://zbmath.org/?q=an:0790.54016}
\transl
\jour Math. Notes
\yr 1992
\vol 52
\issue 3
\pages 953--959
\crossref{https://doi.org/10.1007/BF01209616}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LF91500012}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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