2010/05/27 by Andreas Lochmann, Lochmann, Andreas
Computer Science · Mathematics · #06D05 (Primary) #51F99 (Secondary) #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Functional Equations Stability Results #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.1005.5155
openalex publication_date 2010/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe a natural generalization of irreducibility in order lattices with arbitrary metrics. We analyse the special cases of valuation metrics and more general metrics for lattices. This article is mainly based on a part of the author's doctoral thesis, but answers some additional questions.