Immersions of surfaces with boundary into the plane
Immersions of surfaces with boundary into the plane
复制标题
将具有边界的表面浸入平面中
DOI：
10.2140/pjm.2003.212.371
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Minoru Yamamoto
中科院分区：
文献类型：
--
作者：
Minoru Yamamoto
设f：M→R2是边界为M的紧连通定向曲面在R2中的光滑浸入。Kauffman定义了一种称为像同伦的等价关系，并将M的所有保向浸入集归类为R2到像同伦。当M为亏格1且边界分支数严格大于1时，需要对Kauffman的结果进行修正。在本文中，我们将研究这一特殊情况。
Let f : M→R 2 be a smooth immersion of a compact connected oriented surface with boundary M into R 2 . Kauffman defined an equivalence relation called image homotopy and classified the set of all orientation preserving immersions of M into R 2 up to image homotopy. When M is of genus one and the number of boundary components is strictly greater than one, Kauffman's result requires a correction. In this paper we will study this particular case.