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November 19, 2010 / porton

Question: Complete classification of ultrafilters?

Are there a known complete classification of filters (or at least ultrafilters)?

By complete classification I mean a characterization of every filter by a family of cardinal numbers such that two filters are isomorphic if and only if they have the same characterization.

For definition of isomorphic filters see my article “Filters on Posets and Generalizations”.

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