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arxiv: 0808.1617 · v1 · pith:5RWGYWPFnew · submitted 2008-08-12 · 🧮 math.CA

Continuity Points of Typical Bounded Functions

classification 🧮 math.CA
keywords almostboundeddiscontinuouselementeverywherefunctionsspacetypical
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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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