Any behaviour of the Mitchell ordering of normal measures is possible
نویسندگان
چکیده
منابع مشابه
Any Behaviour of the Mitchell Ordering of Normal Measures Is Possible Preliminary Version
Let U0, U1 be two normal measures on κ. We say that U0 is in the Mitchell oredering less then U1, U0 ⊳ U1, if U0 ∈ Ult(V, U1). The ordering is wellknown to be transitive and well-founded. It has been an open problem to find a model where ⊳ embeds the four-element poset | |. We find a generic extension where all well-founded posets are embeddable. Hence there is no structural restriction on the ...
متن کاملAny Behaviour of the Mitchell Ordering of Normal Measures Is Possible
Let U0, U1 be two normal measures on κ. We say that U0 is in the Mitchell ordering less than U1, U0 C U1, if U0 ∈ Ult(V,U1). The relation is well-known to be transitive and well-founded. It has been an open problem to find a model where C embeds the four-element poset . We find a generic extension where all well-founded posets are embeddable. Hence there is no structural restriction on the Mitc...
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We analyse the Mitchell ordering in a model where is P 2-hypermeasurable and 2 2 > (2) + .
متن کاملPossible Behaviours for the Mitchell Ordering
We use a mixture of forcing and inner models techniques to get some results on the possible behaviours of the Mitchell ordering at a measurable .
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1996
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-96-03019-5