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Article · Izvestiya Mathematics · September 20, 2019

Vaught’s conjecture for weakly -minimal theories of finite convexity rank

Beibut Kulpeshov
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Abstract

Abstract We prove that weakly -minimal theories of finite convexity rank having less than countable models are binary. Our main result is the confirmation of Vaught’s conjecture for weakly -minimal theories of finite convexity rank.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasLimits and Structures in Graph TheoryVaught's conjecturecountable modelsmodel theory of fields

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