On Almost Continuous Mappings and Baire Spaces
Canadian Mathematical Bulletin1978Vol. 21(2), pp. 183–186
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Abstract
Abstract It is proved, in particular, that a topological space X is a Baire space if and only if every real valued function f : X →R is almost continuous on a dense subset of X. In fact, in the above characterization of a Baire space, the range space R of real numbers may be generalized to any second countable, Hausdorfï space that contains infinitely many points.
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