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APAL
2010

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On lovely pairs of geometric structures

13 years 4 months ago

On lovely pairs of geometric structures

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We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We characterize "linear" theories in terms of properties of the corresponding theory of the lovely pair. For o-minimal theories, we use Peterzil-Starchenko's trichotomy theorem to characterize for sufficiently general points, the local geometry around it in terms of the thorn U rank of its type.

Alexander Berenstein, Evgueni Vassiliev

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APAL 2010 | Geometric Structures | Lovely Pair | Particular O-minimal Structures |

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Added	08 Dec 2010
Updated	08 Dec 2010
Type	Journal
Year	2010
Where	APAL
Authors	Alexander Berenstein, Evgueni Vassiliev

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