English

Trees of tangles in infinite separation systems

Combinatorics 2025-05-16 v4

Abstract

We present infinite analogues of our splinter lemma from [Trees of tangles in abstract separation systems, arXiv:1909.09030]. From these we derive several tree-of-tangles-type theorems for infinite graphs and infinite abstract separation systems.

Keywords

Cite

@article{arxiv.2005.12122,
  title  = {Trees of tangles in infinite separation systems},
  author = {Christian Elbracht and Jay Lilian Kneip and Maximilian Teegen},
  journal= {arXiv preprint arXiv:2005.12122},
  year   = {2025}
}

Comments

33 pages, 1 figure; Version 2+3+4: minor changes

R2 v1 2026-06-23T15:47:27.953Z