Continuity Points of Typical Bounded Functions
Shingo Saito
Source: Real Anal. Exchange Volume 34, Number 1 (2008), 249-254.
Abstract
Kostyrko and \v{S}al\'{a}t 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.
Full-text: Access denied (no subscription detected)
Permanent link to this document: http://projecteuclid.org/euclid.rae/1242738936
Zentralblatt MATH identifier:
05578229
Mathematical Reviews number (MathSciNet):
MR2527138
Real Analysis Exchange