A tree-of-tangles theorem for infinite tangles

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-11-29 DOI:10.1007/s12188-022-00259-1

Ann-Kathrin Elm, Jan Kurkofka

引用次数: 7

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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关于无穷多个纠缠的一个纠缠树定理

Carmesin将Robertson和Seymour的纠缠树定理推广到局部有限无限图的无限纠缠。我们将它进一步推广到所有无限图的无限纠缠。我们的结果对于无限图的拓扑有许多应用，例如它们的端空间和它们的紧致。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.