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

Denis P. Ilyutko

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arXiv · 1001.0360

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

Denis P. Ilyutko

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Abstract

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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BibTeX RIS

Denis P. Ilyutko. 2010-01-03. An equivalence between the set of graph-knots and the set of homotopy classes of looped graphs. https://arxiv.org/abs/1001.0360

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