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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.
6
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5
answers
932
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Building Sets/Functions by Playing Games
I have sat in lectures on set theory and I have seen the use of games cropping up in many places. I don't really understand what was going on and how useful games are in set theory, but here I have a …
6
votes
3
answers
1k
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Uniformization in Descriptive Set Theory
I'm a beginner in descriptive set theory.
There is a series of connected exercises (1C.6, 1C.7, 1C.8) in Moschovakis' classic text (new edition) on uniformization. They are simple case uniformization …