Mathematics – Logic
Scientific paper
2012-01-27
Mathematics
Logic
arXiv admin note: substantial text overlap with arXiv:1103.4770
Scientific paper
We analyze definably compact groups in o-minimal expansions of ordered groups
as a combination of semi-linear groups and groups definable in o-minimal
expansions of real closed fields. The analysis involves structure theorems
about their locally definable covers. As a corollary, we prove the Compact
Domination Conjecture in o-minimal expansions of ordered groups.
Eleftheriou Pantelis
Peterzil Ya'acov
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