γ-sets and other singular sets of real numbers
γ-sets and other singular sets of real numbers
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γ 集和其他奇异实数集
DOI：
10.1016/0166-8641(84)90038-5
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发表时间：
1984
影响因子：
0.6
通讯作者：
A. W. Miller
中科院分区：
文献类型：
--
作者：
F. Galvin;A. W. Miller
J的家庭开放实线的子集被称为一个ω覆盖一组X的敌我识别每一个有限子集包含在一个元素的J .一组实数X是一个γ设置敌我识别每一个ω封面J (X)存在< D n: n <ω>ϵJω,X⊆∪n∩m > n D m。在本文中,我们表明,马丁的公理假设有一个γ组X基数的连续体。
A family of J of open subsets of the real line is called an ω-cover of a set X iff every finite subset of X is contained in an element of J. A set of reals X is a γ-set iff for every ω-cover J of X there exists< D n: n< ω> ϵ J ω such that X⊆∪ n∩ m> n D m. In this paper we show that assuming Martin's axiom there is a γ-set X of cardinality the continuum.