期刊
FUNDAMENTA MATHEMATICAE
卷 236, 期 3, 页码 269-296出版社
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
DOI: 10.4064/fm256-5-2016
关键词
NIP; strong theories; ordered Abelian groups; dp-rank
类别
资金
- Simon Foundation [240550]
We consider strong expansions of the theory of ordered Abelian groups. We show that the assumption of strength has a multitude of desirable consequences for the structure of definable sets in such theories, in particular as relates to definable infinite discrete sets. We also provide a range of examples of strong expansions of ordered Abelian groups which demonstrate the great variety of such theories.
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