Real Analysis Exchange
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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.

Primary Subjects: 26A15
Secondary Subjects: 26A21
Keywords: continuity points ; typical functions

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rae/1242738936
Zentralblatt MATH identifier: 05578229
Mathematical Reviews number (MathSciNet): MR2527138

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