A Pigeonhole Property for Relational Structures

Mathematical Logic Quarterly 45 (3):409-413 (1999)
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Abstract

We study those relational structures S with the property that each partition of S contains a block isomorphic to S. We show that the Fraïsse limits of parametric classes K. have property ; over a binary language, every countable structure in K satisfying along with a condition on 1-extensions must be isomorphic to this limit

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On products of elementarily indivisible structures.Nadav Meir - 2016 - Journal of Symbolic Logic 81 (3):951-971.

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References found in this work

Model theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
Finite Model Theory.Heinz-Dieter Ebbinghaus & Torg Flum - 1997 - Studia Logica 58 (2):332-335.

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