Borel maps with the “point of continuity property” and completely Borel additive families in some nonmetrizable spaces

Holický, Petr

doi:10.1090/S0002-9939-1994-1185280-7

Borel maps with the ``point of continuity property'' and completely Borel additive families in some nonmetrizable spaces

Author: Petr Holický
Journal: Proc. Amer. Math. Soc. 120 (1994), 951-958
MSC: Primary 54H05; Secondary 28A05, 54A35
DOI: https://doi.org/10.1090/S0002-9939-1994-1185280-7
MathSciNet review: 1185280
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Abstract: Under the axiom that no measurable cardinal exists it is proved that " ${(F \cap G)_\sigma }$ -measurable" maps of a hereditarily Baire and Čech analytic (e.g., compact) space into a metric space has the point of continuity property. A result on completely Borel-additive families in Čech analytic spaces is the crucial part of the proof.

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