Publications > Preprint server > Preprint Number 1160
Preprint Number 1160
1160. Itay Kaplan, Nicholas Ramsey
Submission date: 13 February 2017
We study NSOP_1 theories. We define Kim-independence, which generalizes non-forking independence in simple theories and corresponds to non-forking at a generic scale. We show that Kim-independence satisfies a version of Kim's lemma, local character, symmetry, and an independence theorem and that, moreover, these properties individually characterize NSOP_1 theories. We describe Kim-independence in several concrete theories and observe that it corresponds to previously studied notions of independence in Frobenius fields and vector spaces with a generic bilinear form.
Mathematics Subject Classification: 03C45, 03C55, 03C60
Keywords and phrases:
|Last updated: February 16 2017 16:21||Please send your corrections to:|