Publications
Article · Siberian Advances in Mathematics · January 1, 2012
O-stable ordered groups
Abstract
An ordered structure M is said to be o-λ-stable if, for every A ⊆ M with | A | ≤ λ and every cut in M , at most λ 1-types over A are consistent with the cut. In the present article, we prove that every o-stable group is abelian. We also study definable subsets and unary functions of o-stable groups.
Advanced Topology and Set TheoryRings, Modules, and AlgebrasAdvanced Algebra and Logicordered groupsabelian groupscuts
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