Borel Matchings and equidecompositions

Update: 2015-12-23

Description

We discuss several results related to the question of when a Borel graph has a Borel matching. Here, the analogue of Hall's matching theorem fails, but there are positive results giving Borel matchings in several contexts if we are willing to discard null or meager sets. We also discuss some applications to geometrical paradoxes. This is joint work with Spencer Unger.

Comments

In Channel

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Borel Matchings and equidecompositions

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Borel Matchings and equidecompositions

Vincenzo Abete

Borel Matchings and equidecompositions