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arXiv · 1406.7615

Binary simple homogeneous structures are supersimple with finite rank

Vera Koponen
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Abstract

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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Vera Koponen. 2015-04-07. Binary simple homogeneous structures are supersimple with finite rank. https://arxiv.org/abs/1406.7615

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