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Selective properties of ideals

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Mathematical, Foundational and Computational Aspects of the Higher Infinite

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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