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math.LO2018
The open dihypergraph dichotomy and the second level of the Borel hierarchy
Raphaël Carroy, Benjamin D. Miller, Dániel T. Soukup
We show that several dichotomy theorems concerning the second level of the Borel hierarchy are special cases of the -dimensional generalization of the open graph dichotom…
math.LO2018
Embeddability on functions: order and chaos
Raphaël Carroy, Yann Pequignot, Zoltán Vidnyánszky
We study the quasi-order of topological embeddability on definable functions between Polish zero-dimensional spaces. We first study the descriptive complexity of this quasi-order r…