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arXiv · 1111.0674

On Ramsey properties of classes with forbidden trees

Jan Foniok
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Abstract

Let F be a set of relational trees and let Forbh(F) be the class of all structures that admit no homomorphism from any tree in F; all this happens over a fixed finite relational signature $σ$. There is a natural way to expand Forbh(F) by unary relations to an amalgamation class. This expanded class, enhanced with a linear ordering, has the Ramsey property.

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Jan Foniok. 2014-08-20. On Ramsey properties of classes with forbidden trees. https://doi.org/10.2168/lmcs-10(3%3A9)2014

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