Number of strongly \(\aleph _{\epsilon}\)-saturated models - an addition (Q1111546)

Improving his earlier result [Ann. Pure Appl. Logic 36, 279-287 (1987; Zbl 0643.03023)] the author proves that any unsuperstable theory T has \(2^{\lambda}\) pairwise non-isomorphic strongly \(\aleph_{\epsilon}\)- saturated models of power \(\lambda\), for every \(\lambda \geq \lambda (T)+\aleph_ 1\). Here \(\lambda\) (T) is the number of non-equivalent strong types over \(\emptyset\).