Ranks for Families of All Theories of Given Languages
N. D. Markhabatov, Sergey Vladimirovich Sudoplatov · Eurasian Mathematical Journal · 2021
For families of all theories of arbitrary given languages we describe ranks and degrees. In particular, we characterize (non-)totally transcendental families. We apply these characterizations for the families of all theories of given languages, with models of given finite or infinite cardinality.