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Homogeneous 1‐based structures and interpretability in random structures

Homogeneous 1‐based structures and interpretability in random structures

Let V be a finite relational vocabulary in which no symbol has arity greater than 2. Let be countable V ‐structure which is homogeneous, simple and 1‐based. The first main result says that if is, in addition, primitive, then it is strongly interpretable in a random structure. The second main …