The independence property in generalized dense pairs of structures

Publisher： Cambridge University Press

E-ISSN： 1943-5886|76|2|391-404

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.76, Iss.2, 2011-06, pp. : 391-404

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Abstract

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.

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