Generic embeddings associated to an indestructibly weakly compact cardinal
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چکیده
منابع مشابه
Generic embeddings associated to an indestructibly weakly compact cardinal
I use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to exist if κ is an indestructibly weakly compact cardinal. These embeddings can be used in order to obtain the forcing axioms MA(<μ-closed) in forcing extensions. This has consequences in V: The singular cardinal hypothesis holds above κ, and κ has a useful Jónsson-like property. This, in turn, implies that...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2010
ISSN: 0168-0072
DOI: 10.1016/j.apal.2010.07.005