Asperó, David and Welch, Philip D. (2002) Bounded Martin's Maximum, Weak ErdoS cardinals, and ψ. Journal of Symbolic Logic, 67 (3). pp. 1141-1152. ISSN 0022-4812
Full text not available from this repository.Abstract
We prove that a form of the Erdos property (consistent with V = L[H] and strictly weaker than the Weak Chang's Conjecture at ?), together with Bounded Martin's Maximum implies that Woodin's principle ? holds, and therefore 2 = ?. We also prove that ? implies that every function f: ? ? ? is bounded by some canonical function on a club and use this to produce a model of the Bounded Semiproper Forcing Axiom in which Bounded Martin's Maximum fails.
Item Type: | Article |
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Uncontrolled Keywords: | ψac,bounded martin's maximum,bounding by canonical functions,erdos cardinals |
Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
UEA Research Groups: | Faculty of Science > Research Groups > Logic |
Related URLs: | |
Depositing User: | Pure Connector |
Date Deposited: | 01 Nov 2013 14:06 |
Last Modified: | 24 Sep 2024 10:43 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/44046 |
DOI: | 10.2178/jsl/1190150154 |
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