Shelah defined a certain type of Scott sentence which be called excellent. He proved, among other things, that if a Scott sentence is excellent and categorical in some uncountable power then it is categorical in all uncountable powers: the analog of the Morley categoricity theorem. Proving such an analog is often the starting point in the classification of a family of classes. This classification is done here in the case of excellent Scott sentences
['Rami Grossberg', 'Bradd Hart']
The classification of excellent classes