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arXiv · 1409.0399

Mapping a knot by a continuous map

Kouki Taniyama
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Abstract

By a fixed continuous map from a $3$-space to itself, a knot in the $3$-space may be mapped to another knot in the $3$-space. We analyze possible knot types of them. Then we map a knot repeatedly by a fixed continuous map and analyze possible infinite sequences of knot types.

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Kouki Taniyama. 2014-09-01. Mapping a knot by a continuous map. https://arxiv.org/abs/1409.0399

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