A remark on the uniformization in metric ѕpaces
Two remarks on the structure of sets of exposed and extreme points.
On projection of nonseparable Souslin and Borel sets along separable spaces
Descriptive properties of mappings between nonseparable Luzin spaces
We relate some subsets of the product of nonseparable Luzin (e.g., completely metrizable) spaces to subsets of in a way which allows to deduce descriptive properties of from corresponding theorems on . As consequences we prove a nonseparable version of Kondô’s uniformization theorem and results on sets of points in with particular properties of fibres of a mapping . Using these, we get descriptions of bimeasurable mappings between nonseparable Luzin spaces in terms of fibres.
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