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Results tagged with set-theory
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user 155735
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 there always measurables of high Mitchell rank below a supercompact?
It is well-known that if $\kappa$ is supercompact, then it is a limit of measurable cardinals, and that $\kappa$ is also itself a measurable cardinal with Mitchell rank at least $\kappa^{++}$. Do we a …
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