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arXiv · 1812.09565

Homogeneous probability measures on the Cantor set

W. Bielas·W. Kubiś·M. Walczyńska
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Abstract

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.

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W. Bielas, W. Kubiś, M. Walczyńska. 2018-12-22. Homogeneous probability measures on the Cantor set. https://doi.org/10.1016/j.jmaa.2019.07.041

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