Generic constructions of small sets of reals

被引：10

作者：

Brendle, J ^{[1
]}

机构：

[1] UNIV TUBINGEN, INST MATH, D-72076 TUBINGEN, GERMANY

来源：

TOPOLOGY AND ITS APPLICATIONS | 1996年 / 71卷 / 02期

关键词：

small set of reals; Luzin set; Sierpinski set; gamma-set; Cichon's diagram; forcing; Cohen real; random real; Hechler real; Laver real; Sacks real; alpha-proper forcing; continuum hypothesis; Martin's axiom;

D O I：

10.1016/0166-8641(95)00071-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct under CH many uncountable sets of reals with strong combinatorial properties which are defined in terms of measure and category. All our constructions involve a sequence of countable ZFC-models and a sequence of generics over these models for the appropriate partial ordering. We also construct several uncountable hereditary gamma-sets.

引用

页码：125 / 147

页数：23

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