Definable pieces in geometrical paradoxes

Mon, 11/12/2017 - 13:00
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In recent years, there has been a resurgence in interest in the extent to which geometrical paradoxes can be done with definable pieces. A striking example of this is Dougherty and Foreman's solution to a problem of Marcewski: The Banach-Tarski paradox is possible using Baire measurable pieces.  We survey some recent results in this area including joint work with Andrew Marks and Clinton Conley.