A tree-of-tangles theorem for infinite tangles

被引：1
|
作者：
Elm, Ann-Kathrin [1 ]
Kurkofka, Jan [1 ]
机构：
[1] Univ Hamburg, Dept Math, Bundesstr 55, D-20146 Hamburg, Germany
来源：
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2022年 / 92卷 / 02期
关键词：
Infinite tree of tangles; End; Ultrafilter tangle; Tree set; Critical vertex set; distinguish; Efficiently; Collectionwise normal; END SPACES; GRAPHS;
D O I：
10.1007/s12188-022-00259-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：139 / 178
页数：40
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