论文标题

无限缠结的缠结树定理

A tree-of-tangles theorem for infinite tangles

论文作者

Elm, Ann-Kathrin, Kurkofka, Jan

论文摘要

卡氏菌已将罗伯逊和西摩的绳索定理扩展到本地有限的无限图的无限缠结。我们将其进一步扩展到所有无限图的无限缠结。 我们的结果对无限图的拓扑有许多应用,例如它们的末端空间和压缩。

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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