10 citations · 31 across the 18 of their papers we have counts for
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math.LO2018★ 1 cited
On the existence of large antichains for definable quasi-orders
Benjamin D. Miller, Zoltán Vidnyánszky
We generalize Harrington-Marker-Shelah's Dilworth-style characterization of the existence of non-empty perfect antichains to co-analytic quasi-orders, establish the analogous theor…
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…