Long line knots
一般拓扑
2007-05-23 v1 逻辑
摘要
We study continuous embeddings of the long line L into L^n (n>1) up to ambient isotopy of L^n. We define the direction of an embedding and show that it is (almost) a complete invariant in the case n=2 for continuous embeddings, and in the case n>3 for differentiable ones. Finally, we prove that the classification of smooth embeddings L \to L^3 is equivalent to the classification of classical oriented knots.
引用
@article{arxiv.math/0406179,
title = {Long line knots},
author = {Mathieu Baillif and David Cimasoni},
journal= {arXiv preprint arXiv:math/0406179},
year = {2007}
}
备注
11 pages, 4 figures, to appear in Arch. Math. 82 (2004)