Continuity points of typical bounded functions

Shingo Saito

doi:10.14321/realanalexch.34.1.0249

Continuity points of typical bounded functions

Shingo Saito

Division for Theoretical Natural Science

Research output: Contribution to journal › Article › peer-review

Abstract

Kostyrko and Šalát 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.

Original language	English
Pages (from-to)	249-254
Number of pages	6
Journal	Real Analysis Exchange
Volume	34
Issue number	1
DOIs	https://doi.org/10.14321/realanalexch.34.1.0249
Publication status	Published - 2009

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.14321/realanalexch.34.1.0249

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Continuity points of typical bounded functions

Abstract

All Science Journal Classification (ASJC) codes

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