THE MODEL THEORY OF METRIC LATTICES: PSEUDOFINITE PARTITION LATTICES

Journal of Symbolic Logic 2026 Open access

Read full text
Authors: José Contreras Mantilla, Thomas Sinclair
DOI: 10.1017/jsl.2026.10242
Cited by: 0

Abstract

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 pseudofinite limits of partition lattices and connect this theory with the theory of continuous limits of partition lattices due to Björner and Lovász.

Fields of Study & Subjects

Advanced Algebra and Logic Advanced Topology and Set Theory Rough Sets and Fuzzy Logic

Publication details

Journal / source
Journal of Symbolic Logic
Publisher
Cambridge University Press (CUP)
Pages
1–59
Publication date
30 July 2026
Language
EN