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  1. (1 other version)The cardinals below |[ω1]<ω1|.W. Hugh Woodin - 2006 - Annals of Pure and Applied Logic 140 (1-3):161-232.
    The results of this paper concern the effective cardinal structure of the subsets of [ω1]<ω1, the set of all countable subsets of ω1. The main results include dichotomy theorems and theorems which show that the effective cardinal structure is complicated.
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  • The cardinals below | [ ω 1 ] ω 1 |.W. Hugh Woodin - 2006 - Annals of Pure and Applied Logic 140 (1-3):161-232.
    The results of this paper concern the effective cardinal structure of the subsets of [ω1]<ω1, the set of all countable subsets of ω1. The main results include dichotomy theorems and theorems which show that the effective cardinal structure is complicated.
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  • The graph-theoretic approach to descriptive set theory.Benjamin D. Miller - 2012 - Bulletin of Symbolic Logic 18 (4):554-575.
    We sketch the ideas behind the use of chromatic numbers in establishing descriptive set-theoretic dichotomy theorems.
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  • (2 other versions)Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
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