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Measurable selectors for the metric projection

Measurable selectors for the metric projection

Abstract Let Y and Z be two topological spaces and F : Y Ɨ Z ā†’ ā„ a function that is upper semiā€“continuous in the first variable and lower semiā€“continuous in the second variable. If Z is Polish and for every y āˆˆ Y there is a point z āˆˆ ā€¦