English

A canonical tree-of-tangles theorem for structurally submodular separation systems

Combinatorics 2025-05-16 v2

Abstract

We show that every structurally submodular separation system admits a canonical tree set which distinguishes its tangles.

Keywords

Cite

@article{arxiv.2009.02091,
  title  = {A canonical tree-of-tangles theorem for structurally submodular separation systems},
  author = {Christian Elbracht and Jay Lilian Kneip},
  journal= {arXiv preprint arXiv:2009.02091},
  year   = {2025}
}

Comments

11 pages, version 2 adds an additional preliminary section and slightly strengthens the main result, this version is due to appear in Combinatorial Theory

R2 v1 2026-06-23T18:18:48.872Z