A Bound on Measurable Chromatic Numbers of Locally Finite Borel Graphs
نویسندگان
چکیده
We show that the Baire measurable chromatic number of every locally finite Borel graph on a non-empty Polish space is strictly less than twice its ordinary chromatic number, provided this ordinary chromatic number is finite. In the special case that the connectedness equivalence relation is hyperfinite, we obtain the analogous result for the μ-measurable chromatic number.
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