A super-Dowker filter

Duration: 59 mins 25 secs
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Description: Cummings, JWR (Carnegie Mellon University)
Thursday 27 August 2015, 16:00-17:00
 
Created: 2015-09-01 16:30
Collection: Mathematical, Foundational and Computational Aspects of the Higher Infinite
Publisher: Isaac Newton Institute
Copyright: Cummings, JWR
Language: eng (English)
 
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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