Author:
Asperó David,Welch Philip D.
Abstract
AbstractWe prove that a form of the Erdӧs property (consistent with V = L[Hω2] and strictly weaker than the Weak Chang's Conjecture at ω1), together with Bounded Martin's Maximum implies that Woodin's principle ψAC holds, and therefore . We also prove that ψAC implies that every function f: ω1 → ω1 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.
Publisher
Cambridge University Press (CUP)
Reference16 articles.
1. Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I
2. On the consistency strength of ‘accessible’ Jo´nsson cardinals;Donder;Annals of Mathematical Logic,1983
3. Deiser Oliver and Donder Hans-Dieter , Canonical Functions, non-regular ultrafilters and Ulam's problem on ω1 , submitted.
4. Generalized erdoös cardinals and O4
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献