Geodesic
Almost Continuity of Mappings
Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 453-455

Voir la notice de l'article provenant de la source Cambridge University Press

Let E be a metric Baire space and f a real valued function on E. Then the set of points of almost continuity in E is dense (everywhere) in E.Our purpose is to set this result in its most natural context, relax some very restricted hypotheses, and to supply a direct proof. More precisely, we shall prove that the metrizability of E in Theorem H may be removed, and that the range space may be generalized from the (Euclidean) space of real numbers to any topological space satisfying the second axiom of countability [2]. 
Lin, Shwu-Yeng T. Almost Continuity of Mappings. Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 453-455. doi: 10.4153/CMB-1968-053-4
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[1] 1. Husain, T., Almost continuous mapping. Prace Matematyczne 10 (1966) 1-7. Google Scholar

[2] 2. Kelley, J. L., General topology. Van Nostrand, Princeton, 1955. Google Scholar

[3] 3. Moore, R. L., Foundations of point set theory. Amer. Math. Soc. Colloquium Publications, Vol. 13(1932, rev. ed., 1962). Google Scholar

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