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On Absolutely Negligible Sets in Uncountable Solvable Groups

  • Alexander Kharazishvili
Veröffentlicht/Copyright: 10. März 2010
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Georgian Mathematical Journal
Aus der Zeitschrift Band 12 Heft 2

Abstract

Absolutely negligible sets in uncountable groups are considered in connection with the measure extension problem (for σ-finite invariant or quasi-invariant measures). In particular, it is proved that, for any uncountable solvable group (𝐺, ·), there exists a countable covering of 𝐺 consisting of 𝐺-absolutely negligible sets.

Received: 2004-02-25
Published Online: 2010-03-10
Published in Print: 2005-June

© Heldermann Verlag

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