康托尔集上的齐次概率测度
Homogeneous probability measures on the Cantor set
摘要：
证明了只要赋予康托尔集一个合适的概率测度，闭测度零子集之间的每一个同胚都可扩张为保测度自同胚.这对标准积测度和普适齐次有理测度都是有效的。
英文摘要：
We show that every homeomorphism between closed measure zero subsets extends to a measure preserving auto-homeomorphism, whenever the Cantor set is endowed with a suitable probability measure. This is valid both for the standard product measure, as well as for the universal homogeneous rational measure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
