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Preprint Number 495

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495. Lynn Scow
Indiscernibles, EM-types, and Ramsey Classes of Trees
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Submission date: 14 August 2012

Abstract:

It was shown in \cite{sc12} that for a certain class of structures I, I-indexed indiscernible sets have the modeling property just in case the age of I is a Ramsey class. We expand this known class of structures from ordered structures in a finite relational language to ordered, locally finite structures which isolate quantifier-free types by way of quantifier-free formulas. As a corollary, we obtain a new Ramsey class of finite trees.

Mathematics Subject Classification: 03C52, 05C55

Keywords and phrases:

Full text arXiv 1208.2991: pdf, ps.


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