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The model theory of metric lattices: pseudofinite partition lattices

Published 15 Jul 2025 in math.CO, math.FA, math.LO, and math.OA | (2507.10932v1)

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 Bj\"orner and Lov\'asz.

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