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On spaces of Baire I functions over K-analytic spaces

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Abstract

Suppose thatℱ is a relatively countably compact subset of B1(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 ofℱ is a strongly countably compact Frechét-Urysohn space; (2) ifℱ is ℵ1 -compact,ℱ is a bicompactum; (3) if X is a paracompact space, the closure ofℱ is a bicompactum.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, USSR

    E. G. Pytkeev

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  1. E. G. Pytkeev
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Translated from Matematicheskie Zametki, Vol. 52, No. 3, pp. 108–116, September, 1992.

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Pytkeev, E.G. On spaces of Baire I functions over K-analytic spaces. Math Notes 52, 953–959 (1992). https://doi.org/10.1007/BF01209616

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  • DOI: https://doi.org/10.1007/BF01209616

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