Vaught's conjecture for weakly o-minimal theories of convexity rank 1
2018
Abstract We study Vaught's problem for weakly o-minimal theories of convexity rank 1. We investigate such theories having less than 2 ω countable models and prove their binarity. The main result of the paper is a description of the countable spectrum of weakly o-minimal theories of convexity rank 1.
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