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Descriptive properties of mappings between nonseparable Luzin spaces

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Abstract

We relate some subsets G of the product X × Y of nonseparable Luzin (e.g., completely metrizable) spaces to subsets H of ℕℕ × Y in a way which allows to deduce descriptive properties of G from corresponding theorems on H. As consequences we prove a nonseparable version of Kondô’s uniformization theorem and results on sets of points y in Y with particular properties of fibres f −1(y) of a mapping f: X → Y. Using these, we get descriptions of bimeasurable mappings between nonseparable Luzin spaces in terms of fibres.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75, Prague 8, Czech Republic

    Petr Holický & Václav Komínek

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  1. Petr Holický
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  2. Václav Komínek
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Holický, P., Komínek, V. Descriptive properties of mappings between nonseparable Luzin spaces. Czech Math J 57, 201–224 (2007). https://doi.org/10.1007/s10587-007-0056-6

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  • DOI: https://doi.org/10.1007/s10587-007-0056-6

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