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The cardinals below |[ω1]<ω1|
Annals of Pure and Applied Logic 140 (1-3):161-232 (2006)
Abstract
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.Author's Profile
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Citations of this work
Ordinal definability and combinatorics of equivalence relations.William Chan - 2019 - Journal of Mathematical Logic 19 (2):1950009.
Cardinality of wellordered disjoint unions of quotients of smooth equivalence relations.William Chan & Stephen Jackson - 2021 - Annals of Pure and Applied Logic 172 (8):102988.
Canonical models for fragments of the axiom of choice.Paul Larson & Jindřich Zapletal - 2017 - Journal of Symbolic Logic 82 (2):489-509.
More definable combinatorics around the first and second uncountable cardinals.William Chan, Stephen Jackson & Nam Trang - 2023 - Journal of Mathematical Logic 23 (3).
References found in this work
Selective ultrafilters and homogeneity.Andreas Blass - 1988 - Annals of Pure and Applied Logic 38 (3):215-255.
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