The Set of Universal Interpolating Functions is Nowhere Dense

arXiv (Cornell University) 2026 Preprint Open access

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Authors: L. Olsen, Noah Pugh, Nathaniel Strout
DOI: 10.48550/arxiv.2602.06752
Cited by: 0

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 $\mathbb{R}$. Several extensions and generalisations are also considered.

Fields of Study & Subjects

Advanced Banach Space Theory Holomorphic and Operator Theory Approximation Theory and Sequence Spaces

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Language
EN
Document type
Preprint