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Preprint Number 746

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746. Vera Koponen
Binary simple homogeneous structures are supersimple with finite rank

Submission date: 30 June 2014.


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.

Mathematics Subject Classification: 03C10, 03C15, 03C45, 03C50, 03C52, 03C68

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Full text arXiv 1406.7615: pdf, ps.

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