On the existence of atomic models

Journal of Symbolic Logic 58 (4):1189-1194 (1993)
We give an example of a countable theory $T$ such that for every cardinal $\lambda \geq \aleph_2$ there is a fully indiscernible set $A$ of power $\lambda$ such that the principal types are dense over $A$, yet there is no atomic model of $T$ over $A$. In particular, $T$ is a theory of size $\lambda$ where the principal types are dense, yet $T$ has no atomic model
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DOI 10.2307/2275137
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D. W. Kueker & M. C. Laskowski (1992). On Generic Structures. Notre Dame Journal of Formal Logic 33 (2):175-183.

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