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Selective properties of ideals

Presented by: 
A Kwela University of Gdansk
Date: 
Thursday 27th August 2015 - 13:30 to 14:00
Venue: 
INI Seminar Room 1
Abstract: 
We will discuss several selective properties of ideals on countable sets. In the case of maximal ideals all those properties coincide and are equivalent to the notion of selectiveness of a maximal ideal (a maximal ideal is selective iff its dual filter is a Ramsey ultrafilter), however in general those selective properties differ from each other. We will show some of their connections to ideal convergence of sequences of functions, descriptive complexity of ideals and topological ways of representing ideals.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons