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math.LO2014★ 1 cited
Binary simple homogeneous structures are supersimple with finite rank
Vera Koponen
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 theo…
math.LO2014
Homogeneous 1-based structures and interpretability in random structures
Vera Koponen
Let be a finite relational vocabulary in which no symbol has arity greater than 2. Let be countable -structure which is homogeneous, simple and 1-based. The first main r…
math.LO2014★ 1 cited
On sets with rank one in simple homogeneous structures
Ove Ahlman, Vera Koponen
We study definable sets of SU-rank 1 in , where is a countable homogeneous and simple structure in a language with finite relational vocabulary. Each such can b…