The model theory of metric lattices: pseudofinite partition lattices

2025/07/15 by Jose Contreras-Mantilla, Mantilla, José Contreras, Thomas Sinclair +1 · 1 citation
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paper · pdf · doi:10.48550/arxiv.2507.10932

Abstract

We initiate the study of general metric lattices in the context of the model theory of metric structures. As an application we develop a theory of pseudo-finite limits of partition lattices and connect this theory with the theory of continuous limits of partition lattices due to Björner and Lovász.

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