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arXiv · 2604.07594

On Petr Novikov's problem of ordered systems of uniform sets

Vladimir Kanovei·Vassily Lyubetsky
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Abstract

We prove that every ordinal $\alpha<\omega_2$ 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.

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Vladimir Kanovei, Vassily Lyubetsky. 2026-04-08. On Petr Novikov's problem of ordered systems of uniform sets. https://arxiv.org/abs/2604.07594

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