Aspherical labelled oriented trees and knots

Guenther P Huck, Stephan Rosebrock

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)285-294
Number of pages10
JournalProceedings of the Edinburgh Mathematical Society
Volume44
Issue number2
StatePublished - 2001

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Asphericity
Knot
Complement
Imply
Standards
Class

Keywords

  • 2-complexes
  • Asphericity
  • Knot groups
  • Labelled oriented trees

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Aspherical labelled oriented trees and knots. / Huck, Guenther P; Rosebrock, Stephan.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 44, No. 2, 2001, p. 285-294.

Research output: Contribution to journalArticle

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