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arXiv · 2507.10932

The model theory of metric lattices: pseudofinite partition lattices

Jose Contreras-Mantilla·Thomas Sinclair
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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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Jose Contreras-Mantilla, Thomas Sinclair. 2026-07-27. The model theory of metric lattices: pseudofinite partition lattices. https://arxiv.org/abs/2507.10932

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