Abstract
All topological spaces considered will be completely regular Hausdorff spaces. The word space will refer to such a topological space. A proper map from a space X into a space Y is a closed continuous map with compact point inverses. An analytic subset of a Polish (separable completely metrizable) space is one which is either empty or the image of the Baire 0-dimensional product space N N, where N = {1, 2 . . . . }.
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