Dependence of functions on their variables
Combinatorics
2025-03-12 v1 Logic
Abstract
In this note I present a readable version of the proof of my 2001 result, giving a sufficient and necessary condition for a function on a combinatorial cube to essentially (locally) depend on at most one variable (see the end of the paper for the motivation), as well as some limiting results.
Keywords
Cite
@article{arxiv.2503.07864,
title = {Dependence of functions on their variables},
author = {Ilijas Farah},
journal= {arXiv preprint arXiv:2503.07864},
year = {2025}
}
Comments
7 pages. This note will not be submitted for publication, but it will be included in the upcoming revised version of my 2000 monograph `Analytic quotients'