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Real Algebraic and Analytic Geometry |
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Submission: 2004, December 2.
Abstract:
Let M be an o minimal expansion of a real closed field. It
is known that a definably connected abelian group definable in M is
divisible. In this note, we show that a definably compact definably
connected grpup definable in M is divisible
.
Mathematics Subject Classification (2000): 03C64, 14P10, 22C05.
Keywords and Phrases: o minimality, definable group, divisible group.
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