English

The reductivity of spherical curves Part II: 4-gons

Geometric Topology 2017-03-23 v2

Abstract

The reductivity of a spherical curve represents how reduced the spherical curve is. It is unknown if there exists a spherical curve whose reductivity is four. In this paper we give an unavoidable set for spherical curves with reductivity four by considering 4-gons.

Keywords

Cite

@article{arxiv.1603.07811,
  title  = {The reductivity of spherical curves Part II: 4-gons},
  author = {Yui Onoda and Ayaka Shimizu},
  journal= {arXiv preprint arXiv:1603.07811},
  year   = {2017}
}

Comments

15 pages, 20 figures, to appear in Tokyo Journal of Mathematics