Wentao Yang (Carnegie Mellon University), An NIP-like notion in abstract elementary classes

Tue, 4 Apr 2023, 1:25 pm MDT

We propose an analogue definition of No Independence Property (NIP) for abstract elementary classes (AECs) that coincides with NIP when the class is elementary. We construct a forking-like relation on AECs with NIP, and show that its negation leads to being able to encode subsets.