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1995/1996 On some representations of a.e. continuous functions
Zbigniew Grande
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Real Anal. Exchange 21(1): 175-180 (1995/1996).


It is proved that the following conditions are equivalent: (a) \(f\) is an almost everywhere continuous function; (b) \(f=g+h\), where \(g,h\) are strongly quasi-continuous; and, (c) \(f=c+gh\), where \(c \in \mathbb{R}\) and \(g,h\) are s.q.c..


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Zbigniew Grande. "On some representations of a.e. continuous functions." Real Anal. Exchange 21 (1) 175 - 180, 1995/1996.


Published: 1995/1996
First available in Project Euclid: 3 July 2012

zbMATH: 0851.26003
MathSciNet: MR1377527

Primary: 26A15 , ‎54C30
Secondary: 54C08

Keywords: continuity , density topology , products of functions , strong quasicontinuity , sums of functions

Rights: Copyright © 1995 Michigan State University Press

Vol.21 • No. 1 • 1995/1996
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