映射类群的自可测嵌入
Self measurable embeddings of mapping class groups
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中文总结 AI 辅助
该研究针对有限型无边界定向曲面的映射类群，证明除少数低复杂度曲面外，其自可测嵌入均为测度等价，是映射类群余Hopf性结果的测度论类比。
中文摘要 AI 辅助
给定一个有限型无边界定向曲面，除少数低复杂度曲面外，我们证明其关联的映射类群到自身的任意可测嵌入均为测度等价。这是Ivanov与McCarthy关于映射类群是余Hopf群结果的测度论类比。
英文摘要
Given a finite-type orientable surface without boundary, outside of a few low-complexity surfaces, we show that any measurable embedding of the associated mapping class group into itself is a measure equivalence. This is a measure-theoretic analog to the result of Ivanov and McCarthy that mapping class groups are co-Hopfian.
