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  1. Countably Categorical Structures with n‐Degenerate Algebraic Closure.Evgueni V. Vassiliev - 1999 - Mathematical Logic Quarterly 45 (1):85-94.
    We study the class of ω-categorical structures with n-degenerate algebraic closure for some n ε ω, which includes ω-categorical structures with distributive lattice of algebraically closed subsets , and in particular those with degenerate algebraic closure. We focus on the models of ω-categorical universal theories, absolutely ubiquitous structures, and ω-categorical structures generated by an indiscernible set. The assumption of n-degeneracy implies total categoricity for the first class, stability for the second, and ω-stability for the third.
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