Possible behaviours for the Mitchell ordering
نویسندگان
چکیده
منابع مشابه
Possible Behaviours for the Mitchell Ordering II
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 .
متن کاملPossible Behaviours of the Reflection Ordering of Stationary Sets
If S, T are stationary subsets of a regular uncountable cardinal κ, we say that S reflects fully in T , S < T , if for almost all α ∈ T (except a nonstationary set) S ∩ α is stationary in α. This relation is known to be a well-founded partial ordering. We say that a given poset P is realized by the reflection ordering if there is a maximal antichain 〈Xp; p ∈ P 〉 of stationary subsets of Reg(κ) ...
متن کاملAny 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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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1993
ISSN: 0168-0072
DOI: 10.1016/0168-0072(93)90034-b