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arXiv · 2003.02535

A tree-of-tangles theorem for infinite tangles

Ann-Kathrin Elm·Jan Kurkofka
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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.

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Ann-Kathrin Elm, Jan Kurkofka. 2021-01-19. A tree-of-tangles theorem for infinite tangles. https://arxiv.org/abs/2003.02535

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