Cofinality and measurability of the first three uncountable cardinals
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| Publication date | 01-2013 |
| Journal | Transactions of the Americal Mathematical Society |
| Volume | Issue number | 365 | 1 |
| Pages (from-to) | 59-98 |
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| Abstract | This paper discusses models of set theory without the Axiom of Choice. We investigate all possible patterns of the cofinality function and the distribution of measurability on the first three uncountable cardinals. The result relies heavily on a strengthening of an unpublished result of Kechris: we prove (under AD) that there is a cardinal K such that the triple (K, K+, K++) satisfies the strong polarized partition property. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1090/S0002-9947-2012-05497-3 |
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