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A super-Dowker filter

Date: 
Thursday 27th August 2015 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
A super-Dowker filter is a filter F on a set X such that

1) For every sequence of F-large sets there are x,y distinct with x in A_y and y in A_x

2) For every partition of X into two parts there exist a sequence as in 1) and a cell of the partition such that all pairs as in 1) lie in this cell

Building on work of Balogh and Gruenhage we show the consistency of the existence of a super-Dowker filter

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons