Martin’s conjecture and strong ergodicity

Martin’s conjecture and strong ergodicity
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马丁猜想和强遍历性

DOI:
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发表时间:
2009
影响因子:
0.3
通讯作者:
S. Thomas
S. Thomas
中科院分区:
数学4区
文献类型:
--
作者:
S. Thomas

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在本文中,我们探讨了马丁对学位不变的鲍尔地图的一些后果。弱普遍可计数的鲍尔等效关系的复杂性始终集中在无效集合上。
In this paper, we explore some of the consequences of Martin’s Conjecture on degree invariant Borel maps. These include the strongest conceivable ergodicity result for the Turing equivalence relation with respect to the filter on the degrees generated by the cones, as well as the statement that the complexity of a weakly universal countable Borel equivalence relation always concentrates on a null set.