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math.LO2021
Definable Kőnig theorems
Matt Bowen, Felix Weilacher
Let be a Polish space with Borel probability measure and let be a Borel graph on with no odd cycles and maximum degree We show that the Baire measurable ed…
math.CO2021★ 2 cited
Perfect matchings in hyperfinite graphings
Matthew Bowen, Gabor Kun, Marcin Sabok
We characterize hyperfinite bipartite graphings that admit measurable perfect matchings. In particular, we prove that every regular hyperfinite bipartite graphing admits a measurab…