A characterization of almost resolvable spaces |
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Authors: | James Foran Paul Liebnitz |
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Institution: | 1. Department of Mathematics, University of Missouri-Kansas City, 64110, Kansas City, MO
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Abstract: | A space is said to be resolvable if it has two disjoint dense subsets. It is shown thatX is a Baire space with no resolvable open subsets iff every real function defined onX has a dense set of points of continuity. Thus almost resolvable spaces, as defined by Bolstein, are shown to be characterized
as the union of a first category set and a closed resolvable set. |
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