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A tree-of-tangles theorem for infinite tangles.

Authors :
Elm, Ann-Kathrin
Kurkofka, Jan
Source :
Abhandlungen Aus Dem Mathematischen Seminar Der Universität Hamburg; Oct2022, Vol. 92 Issue 2, p139-178, 40p
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00255858
Volume :
92
Issue :
2
Database :
Complementary Index
Journal :
Abhandlungen Aus Dem Mathematischen Seminar Der Universität Hamburg
Publication Type :
Academic Journal
Accession number :
160868218
Full Text :
https://doi.org/10.1007/s12188-022-00259-1