Homogeneous probability measures on the Cantor set

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 meas...

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Veröffentlicht in:	arXiv.org 2019-07
Hauptverfasser:	Bielas, W, Kubiś, W, Walczyńska, M
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - General Topology Mathematics - Probability
Online-Zugang:	Volltext
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