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.
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页码：125 / 147
页数：23
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