Mapping a knot by a continuous map

Kouki Taniyama

doi:10.1142/S0218216514500527

Mapping a knot by a continuous map

Kouki Taniyama^*

^*Corresponding author for this work

School of Education

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	1450052
Journal	Journal of Knot Theory and its Ramifications
Volume	23
Issue number	10
DOIs	https://doi.org/10.1142/S0218216514500527
Publication status	Published - 2014 Sept 25

Keywords

Knot
continuous map
discrete dynamical system
tent map

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216514500527

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title = "Mapping a knot by a continuous map",

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 = "Knot, continuous map, discrete dynamical system, tent map",

author = "Kouki Taniyama",

note = "Funding Information: The author was partially supported by Grant-in-Aid for Scientific Research (C) (No. 24540100), Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2014 World Scientific Publishing Company.",

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KW - discrete dynamical system

KW - tent map

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Mapping a knot by a continuous map

Abstract

Keywords

ASJC Scopus subject areas

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