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On Approximately Continuous and Almost Continuous Functions
Published online by Cambridge University Press: 20 November 2018
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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.
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- Research Article
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- Copyright © Canadian Mathematical Society 1971
References
1.
Husain, T., B(T)-Spaces and the closed graph theorem, Math. Ann. 153 (1964), 293-298.Google Scholar
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.
Husain, T., Some remarks about real almost-continuous functions, Math. Mag. (5) 40 (1967). 250-254.Google Scholar
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