Abstract
We prove the Compact Domination Conjecture for groups definable in linear o-minimal structures. Namely, we show that every definably compact group G definable in a saturated linear o-minimal expansion of an ordered group is compactly dominated by (G/G 00, m, Ï), where m is the Haar measure on G/G 00 and Ï : G â G/G 00 is the canonical group homomorphism.
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