On Petr Novikov's problem of ordered systems of uniform sets
Logic
2026-04-16 v3
Abstract
We prove that every ordinal is the order type of a certain system of uniform Borel sets in the sense of a well-ordering relation defined by Petr Novikov. This result gives a positive answer to a problem posed by Nicolas Luzin in 1935.
Cite
@article{arxiv.2604.07594,
title = {On Petr Novikov's problem of ordered systems of uniform sets},
author = {Vladimir Kanovei and Vassily Lyubetsky},
journal= {arXiv preprint arXiv:2604.07594},
year = {2026}
}
Comments
13 pages