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Mapping a knot by a continuous map

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.

preprint2014arXivOpen access
Kouki Taniyama
math.DSmath.GT
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Open access1 author2 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Kouki Taniyama

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