Lusin sequences under CH and under Martin's Axiom

被引：11

作者：

Abraham, U

Shelah, S

机构：

[1] Ben Gurion Univ Negev, Dept Math & Comp Sci, IL-84105 Beer Sheva, Israel

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

FUNDAMENTA MATHEMATICAE | 2001年 / 169卷 / 02期

关键词：

Lusin; Martin's Axiom; continuum hypothesis;

D O I：

10.4064/fm169-2-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assuming the continuum hypothesis there is an inseparable sequence of length wi that contains no Lusin subsequence, while if Martin's Axiom and -CH are assumed then every inseparable sequence (of length w(1)) is a union of countably many Lusin subsequences.

引用

页码：97 / 103

页数：7