Bounded Martin's Maximum, Weak ErdoS cardinals, and ψ

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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

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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
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 (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	Pure Connector
Date Deposited:	01 Nov 2013 14:06
Last Modified:	07 Nov 2024 12:37
URI:	https://ueaeprints.uea.ac.uk/id/eprint/44046
DOI:	10.2178/jsl/1190150154

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