English

The reductivity of spherical curves

Geometric Topology 2014-01-17 v1

Abstract

We show that we can obtain a reducible spherical curve from any non-trivial spherical curve by four or less inverse-half-twisted splices, i.e., the reductivity, which represents how reduced a spherical curve is, is four or less. We also discuss unavoidable sets of tangles for spherical curves.

Keywords

Cite

@article{arxiv.1401.3811,
  title  = {The reductivity of spherical curves},
  author = {Ayaka Shimizu},
  journal= {arXiv preprint arXiv:1401.3811},
  year   = {2014}
}

Comments

14 pages, 28 figures