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- W1981504708 abstract "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 (see [4]), and in particular those with degenerate (trivial) 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." @default.
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- W1981504708 date "1999-01-01" @default.
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- W1981504708 title "Countably Categorical Structures with n-Degenerate Algebraic Closure" @default.
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- W1981504708 doi "https://doi.org/10.1002/malq.19990450108" @default.
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