Aspherical labelled oriented trees and knots

Günther Huck; Stephan Rosebrock

doi:10.1017/s0013091599000474

Aspherical labelled oriented trees and knots

Günther Huck, Stephan Rosebrock

Mathematics and Statistics

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

11 Scopus citations

Abstract

The question of whether ribbon-disc complements-or, equivalently, standard 2-complexes over labelled oriented trees-are aspherical is of great importance for Whitehead's asphericity conjecture and, if solved affirmatively, would imply a combinatorial proof of the asphericity of knot complements. W e present here two classes of diagrammatically reducible labelled oriented trees.

Original language	English (US)
Pages (from-to)	285-294
Number of pages	10
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	44
Issue number	2
DOIs	https://doi.org/10.1017/s0013091599000474
State	Published - 2001

Keywords

2-complexes
Asphericity
Knot groups
Labelled oriented trees

ASJC Scopus subject areas

General Mathematics

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10.1017/s0013091599000474

Cite this

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abstract = "The question of whether ribbon-disc complements-or, equivalently, standard 2-complexes over labelled oriented trees-are aspherical is of great importance for Whitehead's asphericity conjecture and, if solved affirmatively, would imply a combinatorial proof of the asphericity of knot complements. W e present here two classes of diagrammatically reducible labelled oriented trees.",

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AB - The question of whether ribbon-disc complements-or, equivalently, standard 2-complexes over labelled oriented trees-are aspherical is of great importance for Whitehead's asphericity conjecture and, if solved affirmatively, would imply a combinatorial proof of the asphericity of knot complements. W e present here two classes of diagrammatically reducible labelled oriented trees.

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KW - Asphericity

KW - Knot groups

KW - Labelled oriented trees

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Aspherical labelled oriented trees and knots

Abstract

Keywords

ASJC Scopus subject areas

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