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arxiv: 1609.02433 · v1 · pith:ICRXFWOQnew · submitted 2016-09-08 · 🧮 math.LO

Binary simple homogeneous structures

classification 🧮 math.LO
keywords binaryequivalencehomogeneousrelationssimplestructurescontrolcoordinatize
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We describe all binary simple homogeneous structures M in terms of 0-definable equivalence relations on M, which "coordinatize" M and control dividing, and extension properties that respect these equivalence relations.

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