The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $${\theta}$$ θ -supercompact
نویسندگان
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: Archive for Mathematical Logic
سال: 2015
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s00153-015-0423-1