The Set of Universal Interpolating Functions is Nowhere Dense
General Topology
2026-02-09 v1
Abstract
In 1998, Benyamini introduced and proved the existence of universal interpolating functions. In the note we prove that the set of universal interpolating functions is nowhere dense in the space of continuous functions on . Several extensions and generalisations are also considered.
Keywords
Cite
@article{arxiv.2602.06752,
title = {The Set of Universal Interpolating Functions is Nowhere Dense},
author = {Lars Olsen and Noah Pugh and Nathaniel Strout},
journal= {arXiv preprint arXiv:2602.06752},
year = {2026}
}
Comments
7 pages, 1 figure