The model theory of metric lattices: pseudofinite partition lattices
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909689446400000 |
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| author | Mantilla, José Contreras Sinclair, Thomas |
| author_facet | Mantilla, José Contreras Sinclair, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The model theory of metric lattices: pseudofinite partition lattices Mantilla, José Contreras Sinclair, Thomas Combinatorics Functional Analysis Logic Operator Algebras 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. |
| title | The model theory of metric lattices: pseudofinite partition lattices |
| topic | Combinatorics Functional Analysis Logic Operator Algebras |
| url | https://arxiv.org/abs/2507.10932 |