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Preprint Number 273

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273. Antongiulio Fornasiero
Lovely pairs for independence relations
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Submission date: 28 September 2010.

Abstract:

In the literature there are two different notions of lovely pairs of a theory T, according to whether T is simple or geometric. We introduce a notion of lovely pairs for an independence relation, which generalizes both the simple and the geometric case, and show how the main theorems for those two cases extend to our general notion.

Mathematics Subject Classification: 03C45

Keywords and phrases: Lovely pair, dense pair, independence relation

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