Marion Scheepers: Ramsey theory and the Borel Conjecture

Boise Set Theory Seminar
Wednesday, April 20 from 3 to 4pm
Room: MB 124
Speaker: Marion Scheepers (BSU)

Title: Ramsey theory and the Borel Conjecture

Abstract: The Borel Conjecture states that certain measure zero sets of real numbers are countable. This statement can be converted to a statement that a set of real numbers is one of these special measure zero sets if, and only if, a special associated structure satisfies a version of Ramsey’s Theorem. We discuss this connection, and explore a range of statements equivalent to the alluded to version of Ramsey’s Theorem.

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