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Structural properties of compact groups with measure-theoretic applications

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Abstract

Every compact group is Baire isomorphic to a product of compact metric spaces; the isomorphism takes the Haar measure on the group to a direct product measure. This topological connection between compact groups and products of compact metric spaces provides a unified treatment for (Baire) measures on compact groups and for measures on topological products of metric spaces.

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  1. Department of Mathematics Section of Mathematical Analysis and its Applications, University of Athens, Panepistemiopolis, 157 84, Athens, Greece

    S. Grekas

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  1. S. Grekas
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Grekas, S. Structural properties of compact groups with measure-theoretic applications. Israel J. Math. 87, 89–95 (1994). https://doi.org/10.1007/BF02772985

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  • DOI: https://doi.org/10.1007/BF02772985

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