标题： n-局部化性质 显示英文标题

标题： n-localization property

摘要： 设n为大于1的整数。 一棵树T是一个n叉树，如果T中的每个节点最多有n个直接后继节点。 一个强制概念P具有n局部化性质，如果通过P进行扩展后的omega到omega的每个函数都是来自原模型中的n叉树的一个omega分支。 在本文中，我们感兴趣的是获得可数支撑迭代的n局部化性质。 显示英文摘要

摘要： 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.