Stability for pairs of equivalence relations.
Carlo Toffalori · Notre Dame Journal of Formal Logic · 1990
We consider pairs of equivalence relations E Oi Eι such that, for some nonnegative integer Λ, every class of the join of E o and E λ contains at most h classes of either E o or E ί .We classify these structures under categoricity (in some infinite power), nonmultidimensionality and finite cover property.