An NIP-like notion for abstract elementary classes
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We propose an analogue definition of No Independence Property (NIP) for abstract elementary classes (AECs) that coincides with NIP in first order model theory, where the class is elementary. As we have no formulas in this context we work with Galois types. We construct a forking-like relation on AECs with NIP. Our work can be viewed as a new chapter in the neo-stability of AECs, building on Armida-Mazari’s work.