Structural properties of compact groups with measure-theoretic applications |
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Authors: | S Grekas |
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Institution: | (1) Department of Mathematics Section of Mathematical Analysis and its Applications, University of Athens, Panepistemiopolis, 157 84 Athens, Greece |
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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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Keywords: | |
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