Life without "Choice"
Functional Analysis
2026-05-22 v1
Abstract
We propose an AC-independent proof of the existence of a non-measurable set as a consequence of the Hahn-Banach theorem of functional analysis which is known to be strictly weaker than AC.
Cite
@article{arxiv.2605.22026,
title = {Life without "Choice"},
author = {M. A. Sofi},
journal= {arXiv preprint arXiv:2605.22026},
year = {2026}
}
Comments
Accepted, 13 pages