4 citations · 10 across the 10 of their papers we have counts for
3 papers · 1 filter
Every zero-dimensional homogeneous space is strongly homogeneous under determinacy
Raphaël Carroy, Andrea Medini, Sandra Müller
All spaces are assumed to be separable and metrizable. We show that, assuming the Axiom of Determinacy, every zero-dimensional homogeneous space is strongly homogeneous (that is, a…
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…
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…