Franklin Tall: Lindelof spaces with small pseudocharacter, and an analog of Borel’s Conjecture for subsets of uncountable products of [0,1]

Friday, March 30, 2012, from 1:30 to 3pm
Fields Institute, Room 210

Speaker: Franklin Tall (Toronto)

Title: Lindelof spaces with small pseudocharacter, and an analog of Borel’s Conjecture for subsets of uncountable products of [0,1]

Abstract:

(With T. Usuba)

We improve results of Shelah, myself, and Scheepers concerning the cardinality of Lindelof spaces with small pseudocharacter. We establish the consistency, modulo an inaccessible, of an equivalent of Borel’s Conjecture “stepped up one cardinal”.

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