We construct a type $p$ with preweight $\omega$ with respect to itself in a theory with few types. A type with this property must be present in a stable theory with finitely many countable models. The construction is a modification of Hrushovski's important pseudoplane construction.

We construct a type p with preweight ω with respect to itself in a theory with few types. A type with this property must be present in a stable theory with finitely many (but more than one) countable models. The construction is a modification of Hrushovski's important pseudoplane construction.