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Displaying similar documents to “Continuous selections and countable sets”

Some refinements of a selection theorem with O-dimensional domain

B. Michael (1992)

Fundamenta Mathematicae

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The following known selection theorem is sharpened, primarily, by weakening the hypothesis that all the sets φ(x) are closed in Y: Let X be paracompact with dimX = 0, let Y be completely metrizable and let φ:X → 𝓕(Y) be l.s.c. Then φ has a selection.