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arxiv: 1406.7615 · v2 · pith:QVMGW7PTnew · submitted 2014-06-30 · 🧮 math.LO

Binary simple homogeneous structures are supersimple with finite rank

classification 🧮 math.LO
keywords finitecompletehomogeneoussimplesupersimplearitybinarycannot
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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.

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