Weakly o-minimal structures and some of their properties

Journal of Symbolic Logic 63 (4):1511-1528 (1998)
Abstract
The main result of this paper is Theorem 3.1 which is a criterion for weak o-minimality of a linearly ordered structure in terms of realizations of 1-types. Here we also prove some other properties of weakly o-minimal structures. In particular, we characterize all weakly o-minimal linear orderings in the signature $\{ . Moreover, we present a criterion for density of isolated types of a weakly o-minimal theory. Lastly, at the end of the paper we present some remarks on the Exchange Principle for algebraic closure in a weakly o-minimal structure
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DOI 10.2307/2586664
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Criterion for Binarity of ℵ 0 -Categorical Weakly o-Minimal Theories.B. Sh Kulpeshov - 2007 - Annals of Pure and Applied Logic 145 (3):354-367.
Vaught's Conjecture for Quite o-Minimal Theories.B. Sh Kulpeshov & S. V. Sudoplatov - 2017 - Annals of Pure and Applied Logic 168 (1):129-149.

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