M. Zelený

collaborators

2 papers

math.LO2020

There is no bound on Borel classes of the graphs in the Luzin-Novikov theorem

P. Holicky, M. Zeleny

We show that for every ordinal $α \in [1, ω_{1})$ there is a closed set $F \subset 2^{ω} \times ω^{ω}$ such that for every $x \in 2^{ω}$ the section ${y \in ω^{ω}; (x, y) \in F}$ is a two-poin…

math.LO2018

Analytic digraphs of uncountable Borel chromatic number under injective definable homomorphism

Dominique Lecomte, Miroslav Zeleny

We study the analytic digraphs of uncountable Borel chromatic number on Polish spaces, and compare them with the notion of injective Borel homomorphism. We provide some minimal dig…