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 |
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Created: | 2015-09-01 16:30 |
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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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