منابع مشابه
Cardinal Preserving Ideals
We give some general criteria, when κ-complete forcing preserves largeness properties – like κ-presaturation of normal ideals on λ (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength “NSλ is א1-preserving”, for λ > א2.
متن کامل1 5 M ay 1 99 6 CARDINAL PRESERVING IDEALS
We give some general criteria, when κ-complete forcing preserves largeness properties – like κ-presaturation of normal ideals on λ (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength “NSλ is א1-preserving”, for λ > א2.
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متن کاملCardinal Preserving Elementary Embeddings
Say that an elementary embedding j : N → M is cardinal preserving if CAR = CAR = CAR. We show that if PFA holds then there are no cardinal preserving elementary embeddings j : M → V . We also show that no ultrapower embedding j : V → M induced by a set extender is cardinal preserving, and present some results on the large cardinal strength of the assumption that there is a cardinal preserving j...
متن کاملCardinal coefficients associated to certain orders on ideals
We study cardinal invariants connected to certain classical orderings on the family of ideals on ω. We give topological and analytic characterizations of these invariants using the idealized version of Fréchet-Urysohn property and, in a special case, using sequential properties of the space of finitely-supported probability measures with the weak∗ topology. We investigate consistency of some in...
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 1999
ISSN: 0022-4812,1943-5886
DOI: 10.2307/2586794