Compact domination for groups definable in linear o-minimal structures

Archive for Mathematical Logic 48 (7):607-623 (2009)
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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, π), where m is the Haar measure on G/G 00 and π : G → G/G 00 is the canonical group homomorphism

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10.1007/s00153-009-0139-1

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Citations of this work

Returning to semi-bounded sets.Ya'Acov Peterzil - 2009 - Journal of Symbolic Logic 74 (2):597-617.
Non-standard lattices and o-minimal groups.Pantelis E. Eleftheriou - 2013 - Bulletin of Symbolic Logic 19 (1):56-76.

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References found in this work

[Omnibus Review].Anand Pillay - 1984 - Journal of Symbolic Logic 49 (1):317-321.
Hyperimaginaries and Automorphism Groups.D. Lascar & A. Pillay - 2001 - Journal of Symbolic Logic 66 (1):127-143.
Type-definability, compact lie groups, and o-minimality.Anand Pillay - 2004 - Journal of Mathematical Logic 4 (02):147-162.

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