A Gδ ideal of compact sets strictly above the nowhere dense ideal in the Tukey order

被引：7

作者：

Moore, Justin Tatch ^{[1
]}

Solecki, Slawomir ^{[2
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

ANNALS OF PURE AND APPLIED LOGIC | 2008年 / 156卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

Ideal of compact sets; Tukey reduction;

D O I：

10.1016/j.apal.2008.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that there is a G(delta) sigma-ideal of compact sets which is strictly above NWD in the Tukey order. Here NWD is the collection of all compact nowhere dense subsets of the Cantor set. This answers a question of Louveau and Velickovic asked in [Alain Louveau, Boban Velickovic. Analytic ideals and cofinal types, Ann. Pure Appl. Logic 99 (1-3) (1999) 171-195]. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：270 / 273

页数：4

共 8 条

[1]

Fremlin DH., 1991, Note Mat, V11, P177

[2] THE STRUCTURE OF SIGMA-IDEALS OF COMPACT-SETS [J].