MINIMALITY OF NON σ-SCATTERED ORDERS
[作者] TETSUYA ISHIU JUSTIN TATCH MOORE
[单位]
[摘要] In this paper we will characterize—under appropriate axiomatic assumptions — when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming PFA+, the o…
[关键词] MINIMALITY OF NON σ-SCATTERED
In this paper we will characterize—under appropriate axiomatic assumptions — when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming PFA+, the only linear orders which are minimal with respect to not being σ-scattered are either Countryman types or real types. We also outline a plausible approach to demonstrating the relative consistency of There are no minimal non σ-scattered linear orders. In the process of establishing these results, we will prove combinatorial characterizations of when a given linear order is σ-scattered and when it contains either a real or Aronszajn type.
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原文发布时间:2015/8/17
引用本文:
TETSUYA ISHIU;JUSTIN TATCH MOORE.MINIMALITY OF NON σ-SCATTERED ORDERS.http://ynufe.firstlight.cn/View.aspx?infoid=3536493&cb=Z07870000000.
发布时间:2015/8/17.检索时间:2024/12/15