Develops a theory of pseudofinite limits of partition lattices, indicating connections to existing continuous limits theory.
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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Mantilla et al. (2026) studied this question.
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