BINARY PRIMITIVE HOMOGENEOUS SIMPLE STRUCTURES
BINARY PRIMITIVE HOMOGENEOUS SIMPLE STRUCTURES
Abstract Suppose that ${\cal M}$ is countable, binary, primitive, homogeneous, and simple. We prove that the SU-rank of the complete theory of ${\cal M}$ is 1 and hence 1-based. It follows that ${\cal M}$ is a random structure. The conclusion that ${\cal M}$ is a random structure does not hold …