A tree-of-tangles theorem for infinite tangles
Combinatorics
2021-01-20 v2 General Topology
Abstract
Carmesin has extended Robertson and Seymour's tree-of-tangles theorem to the infinite tangles of locally finite infinite graphs. We extend it further to the infinite tangles of all infinite graphs. Our result has a number of applications for the topology of infinite graphs, such as their end spaces and their compactifications.
Cite
@article{arxiv.2003.02535,
title = {A tree-of-tangles theorem for infinite tangles},
author = {Ann-Kathrin Elm and Jan Kurkofka},
journal= {arXiv preprint arXiv:2003.02535},
year = {2021}
}
Comments
30 pages, 7 figures