Dissecting the 2-sphere by immersions
几何拓扑
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0612796,
title = {Dissecting the 2-sphere by immersions},
author = {Tahl Nowik},
journal= {arXiv preprint arXiv:math/0612796},
year = {2007}
}