Lovely pairs for independence relations

Details Lovely pairs for independence relations Lovely pairs for independence relations

2010-09-27

arxiv.org/abs/1009.5244v1

Mathematics

Logic

24 pages

Scientific paper

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.

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