English

Type decomposition in NIP theories

Logic 2017-08-03 v3

Abstract

We prove that any type in an NIP theory can be decomposed into a stable part (a generically stable partial type) and a distal-like quotient.

Cite

@article{arxiv.1604.03841,
  title  = {Type decomposition in NIP theories},
  author = {Pierre Simon},
  journal= {arXiv preprint arXiv:1604.03841},
  year   = {2017}
}

Comments

Several improvements made following the referee report

R2 v1 2026-06-22T13:31:34.883Z