Mapping a knot by a continuous map
Geometric Topology
2014-09-04 v1 Dynamical Systems
Abstract
By a fixed continuous map from a -space to itself, a knot in the -space may be mapped to another knot in the -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
Cite
@article{arxiv.1409.0399,
title = {Mapping a knot by a continuous map},
author = {Kouki Taniyama},
journal= {arXiv preprint arXiv:1409.0399},
year = {2014}
}
Comments
12 pages, 10 figures