English

Irreducible Elements in Metric Lattices

Metric Geometry 2010-05-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1005.5155,
  title  = {Irreducible Elements in Metric Lattices},
  author = {Andreas Lochmann},
  journal= {arXiv preprint arXiv:1005.5155},
  year   = {2010}
}

Comments

17 pages, 3 figures

R2 v1 2026-06-21T15:28:50.774Z