Real Algebraic and Analytic Geometry |

Covering definable open sets by open cells.

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homepage: http://www.maths.ox.ac.uk/~wilkie/

Submission: 2004, September 23.

*Abstract:
Let $\mathfrak{M}$=$\langle M, \le, +, \cdot, \ldots \rangle$ be an
o-minimal expansion of a real closed field. I show that any
$\mathfrak{M}$-definable, bounded open subset of $M^n$ is the union of
finitely many open cells.*

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