Alexander BerensteinAlf DolichAlf Onshuus2026-03-222026-03-22201110.2178/jsl/1305810754https://doi.org/10.2178/jsl/1305810754https://andeanlibrary.org/handle/123456789/48420Citaciones: 17Abstract We provide a general theorem implying that for a (strongly) dependent theory T the theory of sufficiently well-behaved pairs of models of T is again (strongly) dependent. We apply the theorem to the case of lovely pairs of thorn-rank one theories as well as to a setting of dense pairs of first-order topological theories.enProperty (philosophy)MathematicsIndependence (probability theory)Rank (graph theory)Order (exchange)Pure mathematicsDiscrete mathematicsThe independence property in generalized dense pairs of structuresarticle