Continuity Points of Typical Bounded Functions

Details Continuity Points of Typical Bounded Functions Continuity Points of Typical Bounded Functions

2008-08-12

arxiv.org/abs/0808.1617v1

Real Analysis Exchange, vol. 34 (2008/2009), no. 1, pp. 249-254

Mathematics

Classical Analysis and ODEs

5 pages

Scientific paper

Kostyrko and Salat 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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