SOME RESULTS IN THE EXTENSION WITH A COHERENT SUSLIN TREE, PART II
SOME RESULTS IN THE EXTENSION WITH A COHERENT SUSLIN TREE, PART II
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连贯的 SULIN 树扩展的一些结果，第二部分
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发表时间：
2014
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通讯作者：
Stevo Todorvcevivc
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作者：
Stevo Todorvcevivc
$Todorcheck{c}eviacute{c}-Velicheck{c}koviacute{c}$证明了Martin公理等价于Ramsey理论陈述[22，20]。Todorv{c}eviv{c}从这类Ramsey理论的观点出发，介绍了它的Ramsey理论陈述的几种弱形式[20]。其中之一是$mathcal{K}_{2}$：每个ccc强迫都有Knaster性质（每个不可数集都有一个成对相容的不可数子集）。众所周知，$MA_{aleph_{1}}$意味着
$Todorcheck{c}eviacute{c}-Velicheck{c}koviacute{c}$ showed that Martin’sAxiom is equivalent to some Ramsey theoretic statement [22, 20]. From the view point of this type of Ramsey theory, Todorv{c}eviv{c} introduced several weak forms of its Ramsey theoretic statement [20]. One of them is $mathcal{K}_{2}$ : Every ccc forcing has the Knaster property (every uncountable set has a pairwisecompatible uncountable subset). It is well known that $MA_{aleph_{1}}$ implies