An equivalence between the set of graph-knots and the set of homotopy classes of looped graphs

Details An equivalence between the set of graph-knots and the set of homotopy classes of looped graphs An equivalence between the set of graph-knots and the set of homotopy classes of looped graphs

2010-01-03

arxiv.org/abs/1001.0360v1

Mathematics

Geometric Topology

28 pages, 8 figures

Scientific paper

In the present paper we construct a one-to-one correspondence between the set
of graph-knots and the set of homotopy classes of looped graphs. Moreover, the
graph-knot and the homotopy class constructed from a given knot are related
with this correspondence. This correspondence is given by a simple formula.

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