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Mapping a knot by a continuous map

Kouki Taniyama

Department of Mathematics, School of Education, Waseda University, Nishi-Waseda 1-6-1, Shinjuku-ku, Tokyo 169-8050, Japan

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https://doi.org/10.1142/S0218216514500527Cited by:0 (Source: Crossref)

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.

Keywords:

AMSC: Primary: 57M25, Secondary: 37B99, Secondary: 37E99

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