Tangles and the Stone-Čech compactification of infinite graphs

Jan Kurkofka; Max Pitz

doi:10.1016/j.jctb.2020.07.004

Tangles and the Stone-Čech compactification of infinite graphs

Jan Kurkofka, Max Pitz

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the tangle space of a graph, which compactifies it, is a quotient of its Stone-Čech remainder obtained by contracting the connected components.

Original language	English
Pages (from-to)	34-60
Number of pages	27
Journal	Journal of Combinatorial Theory, Series B
Volume	146
Early online date	7 Aug 2020
DOIs	https://doi.org/10.1016/j.jctb.2020.07.004
Publication status	Published - Jan 2021

Keywords

Infinite graph
Stone-Čech compactification
End
Tangle

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@article{681584908ab1431f9ea30d5f17c88d8e,

title = "Tangles and the Stone-{\v C}ech compactification of infinite graphs",

abstract = "We show that the tangle space of a graph, which compactifies it, is a quotient of its Stone-{\v C}ech remainder obtained by contracting the connected components.",

keywords = "Infinite graph, Stone-{\v C}ech compactification, End, Tangle",

author = "Jan Kurkofka and Max Pitz",

year = "2021",

month = jan,

doi = "10.1016/j.jctb.2020.07.004",

language = "English",

volume = "146",

pages = "34--60",

journal = "Journal of Combinatorial Theory, Series B",

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AU - Kurkofka, Jan

AU - Pitz, Max

PY - 2021/1

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N2 - We show that the tangle space of a graph, which compactifies it, is a quotient of its Stone-Čech remainder obtained by contracting the connected components.

AB - We show that the tangle space of a graph, which compactifies it, is a quotient of its Stone-Čech remainder obtained by contracting the connected components.

KW - Infinite graph

KW - Stone-Čech compactification

KW - End

KW - Tangle

U2 - 10.1016/j.jctb.2020.07.004

DO - 10.1016/j.jctb.2020.07.004

M3 - Article

VL - 146

SP - 34

EP - 60

JO - Journal of Combinatorial Theory, Series B

JF - Journal of Combinatorial Theory, Series B

ER -

Tangles and the Stone-Čech compactification of infinite graphs

Abstract

Keywords

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