n-localization property in iterations∗
نویسنده
چکیده
The n-localization property is preserved under the countable support iteration of suitably definable forcings. This solves a question of Ros lanowski and greatly simplifies the proofs in the area.
منابع مشابه
N - Localization Property
The present paper is concerned with the n–localization property and its preservation in countable support (CS) iterations. This property was first introduced in Newelski and Ros lanowski [10, p. 826]. Definition 0.1. Let n be an integer greater than 1. (1) A tree T is an n–ary tree provided that (∀s ∈ T)(|succ T (s)| ≤ n). (2) A forcing notion P has the n–localization property if P " ∀f ∈ ω ω ∃...
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