n-localization property

Details n-localization property n-localization property

2005-07-25

arxiv.org/abs/math/0507519v1

Mathematics

Logic

Scientific paper

Let n be an integer greater than 1. A tree T is an n-ary tree provided that every node in T has at most n immediate successors. A forcing notion P has the n-localization property if every function from omega to omega in an extension via P is an omega-branch in an n-ary tree from the ground model. In the present paper we are interested in getting the n-localization property for countable support iterations.

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