Geodesic
On Almost Continuous Mappings and Baire Spaces
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 183-186

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DOI

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.
DOI : 10.4153/CMB-1978-031-1
Mots-clés : 54C10, 54F65, 54D10, 54D15 
Lin, Shwu-Yeng T.; Lin, You-Feng. On Almost Continuous Mappings and Baire Spaces. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 183-186. doi: 10.4153/CMB-1978-031-1
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     title = {On {Almost} {Continuous} {Mappings} and {Baire} {Spaces}},
     journal = {Canadian mathematical bulletin},
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     year = {1978},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-031-1/}
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