%0 Journal Article
%T The reductivity of spherical curves
%A Ayaka Shimizu
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1401.3811v1