Event

David Schrittesser, Vienna

Tuesday, October 2, 2018 14:30to15:30
Burnside Hall Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

The Ramsey property, uniformization, and higher dimensional MAD families

Suppose every (definable) set of real numbers has the Ramsey property and (definable) relations on the real numbers can be uniformized by a function on a set which is comeager in the Ellentuck topology. Then there are no (definable) MAD families. As it turns out, there are also no (fin x fin)-MAD families, where fin x fin is the two-dimensional Fubini product of the ideal of finite sets. We also comment on work in progress regarding higher dimensional products. All results are joint work with Asger Törnquist.

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