On sets with rank one in simple homogeneous structures
On sets with rank one in simple homogeneous structures
We study definable sets $D$ of SU-rank 1 in $\mathcal M^{\rm eq}$, where $\mathcal M$ is a countable homogeneous and simple structure in a language with finite relational vocabulary. Each such $D$ can be seen as a `canonically embedded structure', which i