Measure reducibility of countable Borel equivalence relations
ANNALS OF MATHEMATICS(2017)
摘要
We show that every basis for the countable Borel equivalence relations strictly above E-0 under measure reducibility is uncountable, thereby ruling out natural generalizations of the Glimm-Effros dichotomy. We also push many known results concerning the abstract structure of the measure reducibility hierarchy to its base, using arguments substantially simpler than those previously employed.
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关键词
countable borel equivalence relations,measure reducibility
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