Yuan Yuan Zheng: Moderately-abstract parametrized Ellentuck theorem

Place: Fields Institute (Room 210)

Date: September 15, 2017 (13:30-15:00)

Speaker: Yuan Yuan Zheng

Title: Moderately-abstract parametrized Ellentuck theorem

Abstract: Mimicking the parametrized Ellentuck theorem in the Ellentuck
space and the parametrized Milliken theorem in the Milliken space, we
present a ‘moderately abstract’ parametrized theorem for ‘moderate’
topological Ramsey spaces. It is a parametrization of the abstract
Ellentuck theorem with infinitely many perfect sets of real numbers,
implying that essentially all infinitely-dimensional Ramsey properties
proven using topological Ramsey space theory can be parametrized by
products of infinitely many perfect sets.

 

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