### On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure

by Hyttinen and Shelah. [HySh:632]

Math Logic Quarterly, 1998

We show that if M is a stable unsuperstable homogeneous
structure, then for most kappa < |M|, the number of elementary
submodels of M of power kappa is 2^kappa .

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