%0 Journal Article
%T Dissecting the 2-sphere by immersions
%A Tahl Nowik
%J Mathematics
%D 2006
%I arXiv
%X The self intersection of an immersion i : S^2 \to R^3 dissects S^2 into pieces which are planar surfaces (unless i is an embedding). In this work we determine what collections of planar surfaces may be obtained in this way. In particular, for every n we construct an immersion i : S^2 \to R^3 with 2n triple points, for which all pieces are discs.
%U http://arxiv.org/abs/math/0612796v1