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arXiv · 0808.1617

Continuity Points of Typical Bounded Functions

Shingo Saito
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Abstract

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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Shingo Saito. 2008-08-12. Continuity Points of Typical Bounded Functions. https://arxiv.org/abs/0808.1617

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