On the number of independent orders (Model theoretic aspects of the notion of independence and dimension)

Abstract

In this note, we present and prove some lemmas that are useful when studying the number of independent orders. We can show $kappa$_{srd}^{m}(T) =infty Rightarrow $kappa$_{srd}^{1}(T) =infty, using these lemmas. Its proof will be given in a forthcoming paper. (The details are not given in this note.)