Geodesic
On Approximately Continuous and Almost Continuous Functions
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 433-435

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

The purpose of this note is to discuss the relationship between the concepts of approximate continuity and almost continuity of real functions of a real variable.Contrary to the papers of T. Husain [1], [2], [3], we shall show that there is little relationship between these concepts, that approximate continuity does not imply almost continuity without additional restrictions and we shall give one such restriction. 
Chaika, M.; Perlman, S. On Approximately Continuous and Almost Continuous Functions. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 433-435. doi: 10.4153/CMB-1971-075-8
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[1] 1. Husain, T., B(T)-Spaces and the closed graph theorem, Math. Ann. 153 (1964), 293-298. Google Scholar

[2] 2. Husain, T. and Dwivedi, T. D., A characterization of real almost continuous functions, Canad. Math. Bull. (3) 10 (1967), 361-364. Google Scholar

[3] 3. Husain, T., Some remarks about real almost-continuous functions, Math. Mag. (5) 40 (1967). 250-254. Google Scholar

[4] 4. Goffman, C., Real functions, Holt, New York, 1953. Google Scholar

[5] 5. Saks, S., Theory of the integral, Dover, New York, 1964. Google Scholar

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