Continuity Points of Typical Bounded Functions
Classical Analysis and ODEs
2011-03-11 v1
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.
Cite
@article{arxiv.0808.1617,
title = {Continuity Points of Typical Bounded Functions},
author = {Shingo Saito},
journal= {arXiv preprint arXiv:0808.1617},
year = {2011}
}
Comments
5 pages