4.0 Article

THE INDEPENDENCE PROPERTY IN GENERALIZED DENSE PAIRS OF STRUCTURES

Journal

JOURNAL OF SYMBOLIC LOGIC
Volume 76, Issue 2, Pages 391-404

Publisher

ASSOC SYMBOLIC LOGIC, INC
DOI: 10.2178/jsl/1305810754

Keywords

Rosy theories; lovely pairs; dense pairs; dependent theories; strongly dependent theories

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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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