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Results tagged with set-theory
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user 11555
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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What is the cardinality of Dana Scott's $D_{\infty}$?
In the 1960's, Dana Scott constructed the domain $D_{\infty}$ which has the property
$D_{\infty} \cong D_{\infty}{}^{D_{\infty}}$.
Its construction is based on a cumulative hierarchy of infinite seque …
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