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forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.

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Are all free ultrafilters 'the same' in some sense?

"Fast" ultrafilters and "slow" ultrafilters are used in this paper and have different properties. The definition of "slow" ultrafilter: let $\mathcal P$ be the set of all complements of finite sets a …
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