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Ramsey Classes: Examples and Constructions
[article]
2015
arXiv
pre-print
This article is concerned with classes of relational structures that are closed under taking substructures and isomorphism, that have the joint embedding property, and that furthermore have the Ramsey property, a strong combinatorial property which resembles the statement of Ramsey's classic theorem. Such classes of structures have been called Ramsey classes. Nesetril and Roedl showed that they have the amalgamation property, and therefore each such class has a homogeneous Fraisse-limit. Ramsey
arXiv:1502.05146v3
fatcat:uvyaqmd5jrccvorsx3s36kmzei