Abstract
This paper, motivated by a conjecture raised by Choksi in 1984 about homogeneous spaces, investigates the topological connexions between transformation groups and product spaces; our approach, based on the Furstenberg structure theorem, provides a unified treatment for (Baire) measures on any minimal distal flow and for measures on a product of compact metric spaces of the same topological weight.
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In memory of my sister
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Grekas, S. Measure-theoretic problems in topological dynamics. J. Anal. Math. 65, 207–220 (1995). https://doi.org/10.1007/BF02788772
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DOI: https://doi.org/10.1007/BF02788772