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Binary simple homogeneous structures are supersimple with finite rank
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. (logic)
2016 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 144, no 4, 1745-1759 p.Article in journal (Refereed) Published
Abstract [en]

Suppose that M is an infinite structure with finite relational vocabulary such that every relation symbol has arity at most 2. If M is simple and homogeneous, then its complete theory is supersimple with finite SU-rank which cannot exceed the number of complete 2-types over the empty set.

Place, publisher, year, edition, pages
2016. Vol. 144, no 4, 1745-1759 p.
Keyword [en]
Model theory; homogeneous structure; simple theory; stable theory; rank
National Category
Algebra and Logic
Research subject
Mathematical Logic
URN: urn:nbn:se:uu:diva-275007DOI: 10.1090/proc/12828ISI: 000369298400034OAI: oai:DiVA.org:uu-275007DiVA: diva2:898264
Available from: 2016-01-27 Created: 2016-01-27 Last updated: 2016-03-02Bibliographically approved

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Koponen, Vera
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