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) |
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Pages (from-to) | 285-294 |
Number of pages | 10 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 44 |
Issue number | 2 |
DOIs | |
State | Published - 2001 |
Keywords
- 2-complexes
- Asphericity
- Knot groups
- Labelled oriented trees
ASJC Scopus subject areas
- Mathematics(all)