Independence over arbitrary sets in nsop1 theories

Jan Dobrowolski, Byunghan Kim, Nicholas Ramsey

Research output: Contribution to journalArticlepeer-review

Abstract

We study Kim-independence over arbitrary sets. Assuming that forking satisfies existence, we establish Kim's lemma for Kim-dividing over arbitrary sets in an NSOP1 theory. We deduce symmetry of Kim-independence and the independence theorem for Lascar strong types.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2019 Sep 18

All Science Journal Classification (ASJC) codes

  • General

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