James Cummings : A super-Dowker filter

Posted by Kostyantyn Slutskyy , part of the Logic Seminar.

At

Sept. 8, 2015, 4 p.m.

In

SEO 427

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.