Comportement à l'infini du graphe gordien des nœuds

Details Comportement à l'infini du graphe gordien des nœuds Comportement à l'infini du graphe gordien des nœuds

2005-03-08

arxiv.org/abs/math/0503143v1

Mathematics

Geometric Topology

6 pages, 6 figures

Scientific paper

We study the gordian graph of all knots in $\R^3$: two knots are adjacent if
they differ by a single crossing change. We prove that this graph contains
isometrically an infinite countable tree with infinite valency, and that the
complement of any finite subset is connected.

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