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math.LO2026
Locally countable graphs of second projective class not generated by countably many projective functions
Vladimir Kanovei, Vassily Lyubetsky
To answer a question by Rettich and Serafin, we define a model of set theory in which there exists a locally countable graph on a subset of the real line, which is not…
math.LO2026
On Petr Novikov's problem of ordered systems of uniform sets
Vladimir Kanovei, Vassily Lyubetsky
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…