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Preprint Number 1809

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1809. Vince Guingona and Miriam Parnes
Ranks Based on Fraisse Classes

Submission date: 6 July 2020


In this paper, we introduce the notion of K-rank, where K is an algebraically trivial Fraisse class. Roughly speaking, the K-rank of a partial type is the number of independent “copies” of K that can be “coded” inside of the type. We study K-rank for specific examples of K, including linear orders, equivalence relations, and graphs. We discuss the relationship of K-rank to other well-studied ranks in model theory, including dp-rank and op-dimension.

Mathematics Subject Classification: 03C45

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Full text arXiv 2007.02922: pdf, ps.

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