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arxiv: 1604.06597 · v1 · pith:PMGTED3Onew · submitted 2016-04-22 · 🧮 math.GT

A Note on a Map from Knots to 2-Knots

classification 🧮 math.GT
keywords knotsabstractbraidconstructcounterpartdimensionsextendedgroups
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We construct a map from knots to (abstract) 2-knots which can be extended to higher dimensions; this map is the natural "knot" counterpart for "braid" theory of groups $G_{n}^{k}$.

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