Continuity points of typical bounded functions

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)249-254
Number of pages6
JournalReal Analysis Exchange
Volume34
Issue number1
DOIs
Publication statusPublished - Jan 1 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

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