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Logic Seminar

On Cichon's Diagram for Uncountable \(kappa\)

Diana Montoya: Kurt Gödel Research Center, University of Vienna

Location:  Hill 705
Date & time: Monday, 13 February 2017 at 5:00PM - 5:11PM

Cardinal invariants of the Baire space \[omega^{omega}\] have been widely studied and understood. In this talk I will mention our work aiming to study the cardinal invariants of Cichon's Diagram when considering its generalization to the generalized Baire space \[kappa^{kappa}\], where \[kappa\] is an uncountable cardinal. Our research focuses mainly on the cardinals in the diagram associated with the \[kappa\]-Meager ideal, due to the absence of a notion of measure on these spaces. I will present the results that can be easily lifted from the countable case as well as some differences and open problems that arise when trying to achieve such a generalization.

This is joint work with Jorg Brendle, Andrew Brooke-Taylor, and Sy-David Friedman

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Department of Mathematics

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