On the number of independent orders

Kota Takeuchi, Akito Tsuboi

We investigate a model theoretic invariant ${\kappa }_{srd}^m(T)$, which was introduced by Shelah in his famous book, and prove that ${\kappa }_{srd}^m(T)$ is sub-additive. When ${\kappa }_{srd}^m(T)$ is…