On homogeneous models of some weakly minimal theories (Q1595480)

Weakly minimal theories are considered. For a unidimensional weakly minimal theory \(T\), it is proven that every \(\omega\)-homogeneous \(T\)-model of power greater than \(\lambda(T)\) is homogeneous. Every resplendent model of a weakly minimal theory in a countable recursively presented language is proven to be homogeneous. The spectrum functions for homogeneous and resplendent models of countable weakly minimal theories are calculated.