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)|
|Number of pages||10|
|Journal||Proceedings of the Edinburgh Mathematical Society|
|State||Published - Jan 1 2001|
- Knot groups
- Labelled oriented trees
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