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Homogeneous 1-based structures and interpretability in random structures
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2017 (English)In: Mathematical logic quarterly, ISSN 0942-5616, E-ISSN 1521-3870, Vol. 63, no 1-2, 6-18 p.Article in journal (Refereed) Published
Abstract [en]

Let V be a finite relational vocabulary in which no symbol has arity greater than 2. Let math formula be countable V-structure which is homogeneous, simple and 1-based. The first main result says that if math formula is, in addition, primitive, then it is strongly interpretable in a random structure. The second main result, which generalizes the first, implies (without the assumption on primitivity) that if math formula is “coordinatized” by a set with SU-rank 1 and there is no definable (without parameters) nontrivial equivalence relation on M with only finite classes, then math formula is strongly interpretable in a random structure.

Place, publisher, year, edition, pages
Wiley-VCH Verlagsgesellschaft, 2017. Vol. 63, no 1-2, 6-18 p.
Keyword [en]
model theory, homogeneous structure, simple theory, random structure
National Category
Algebra and Logic
Research subject
Mathematical Logic
Identifiers
URN: urn:nbn:se:uu:diva-322293DOI: 10.1002/malq.201400096ISI: 000400361900001OAI: oai:DiVA.org:uu-322293DiVA: diva2:1096588
Available from: 2017-05-18 Created: 2017-05-18 Last updated: 2017-06-26Bibliographically approved

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Koponen, Vera

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