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math.LO2025
Borel distinguishing number
Onur Bilge, Burak Kaya
In this paper, we study definable variants of the notion of the distinguishing number of a graph in descriptive set theoretic setting. We introduce the notion of the Borel distingu…
math.LO2022
Frucht's theorem in Borel setting
Onur Bilge, Burak Kaya
In this paper, we show that Frucht's theorem holds in Borel setting. More specifically, we prove that any standard Borel group can be realized as the Borel automorphism group of a…