A tree-of-tangles theorem for infinite-order tangles
Ann-Kathrin Elm, Jan Kurkofka · arXiv (Cornell University) · 2020
Carmesin has extended Robertson and Seymour's tree-of-tangles theorem to the infinite-order tangles of locally finite infinite graphs. We extend it further to the infinite-order 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.