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2008/2009 Continuity Points of Typical Bounded Functions
Shingo Saito
Real Anal. Exchange 34(1): 249-254 (2008/2009).


Kostyrko and Šalát showed that if a linear space of bounded functions has an element that is discontinuous almost everywhere, then a typical element in the space is discontinuous almost everywhere. We give a topological analogue of this theorem and provide some examples.


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Shingo Saito. "Continuity Points of Typical Bounded Functions." Real Anal. Exchange 34 (1) 249 - 254, 2008/2009.


Published: 2008/2009
First available in Project Euclid: 19 May 2009

zbMATH: 1181.26007
MathSciNet: MR2527138

Primary: 26A15
Secondary: 26A21

Keywords: continuity points , typical functions

Rights: Copyright © 2008 Michigan State University Press

Vol.34 • No. 1 • 2008/2009
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