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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1992, Volume 52, Issue 3, Pages 108–116 (Mi mz4706)

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 Frechét–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.

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English version:
Mathematical Notes, 1992, 52:3, 953–959

Bibliographic databases:

UDC: 515.12

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
\Bibitem{Pyt92} \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 \mathnet{http://mi.mathnet.ru/mz4706} \mathscinet{http://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992LF91500012} 

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This publication is cited in the following articles:
1. E. G. Pytkeev, “Baire functions and spaces of Baire functions”, J. Math. Sci., 136:5 (2006), 4131–4155
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