On Amalgamation in NTP2 Theories and Generically Simple Generics

Abstract

We prove a couple of results on NTP 2 theories. First, we prove an amalgamation statement and deduce from it that the Lascar distance over extension bases is bounded by 2. This improves previous work of Ben Yaacov and Chernikov. We propose a line of investigation of NTP 2 theories based on S1 ideals with amalgamation and ask some questions. We then define and study a class of groups with generically simple generics, generalizing NIP groups with generically stable generics.

Animal sentience

“… 6 Carruthers' arguments are complex and we cannot do them justice here. See Black ( 2020 ), Birch ( 2020a ) and Simons ( 2020 ) for criticism. …”