Classifying immersions into IR[4] over stable maps of 3-manifolds into IR[2]
Classifying immersions into IR[4] over stable maps of 3-manifolds into IR[2]
复制标题
将浸没分类为 IR[4]，将 3-流形的稳定映射分类为 IR[2]
DOI：
10.1007/bfb0075066
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
H. Levine
中科院分区：
文献类型：
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作者：
H. Levine
设M到f是从紧致的、有向的、三个流形2R的稳定映射。这些注记的主要目的是将M的浸入(f，h)分类到IR×IR？(这里，浸入(f，ho)和(f，h₁)是等价的，如果它们由正则同伦(f，h)相连。)这项研究使用的描述性工具是通过识别属于f纤维的相同成分的M点而获得的空间。第一章研究了W的局部几何以及Wf的所有局部刻画
Let M into f be a stable map from a compact, oriented, three manifold 2 R. The main object of these notes, treated in Chapter III, is the classification of immersions (f, h) of M into IR× IR².(Here, immersions (f, ho) and (f, h₁) are equivalent if they are connected by a regular homotopy,(f, h).) A descriptive device used for this study is the space obtained by identifying points of M that belong to the same component of the f-fibre. In Chapter I, the local geometry of W is studied and all local descriptions of W f