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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.

10 votes
2 answers
481 views

What subsets of a set of integers can compute it?

For $x, y \subseteq \omega$, (a) We write $x \leq_T y$ if $x$ is Turing reducible to $y$. (b) We write $x \leq_L y$ if $x \in L(y)$ where $L(y)$ is the smallest model of ZFC that contains all ordin …
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