A Note on Some Contractible 4-Manifolds
A Note on Some Contractible 4-Manifolds
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关于一些可收缩四流形的注解
DOI：
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发表时间：
1961
期刊：
影响因子：
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通讯作者：
B. Mazur
中科院分区：
文献类型：
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作者：
B. Mazur
J. H. C. Whitehead在最近的一篇笔记[2]中，给出了Sn的不动点集非单连通的对合。这是基于具有非单连通边界的可收缩5流形U5的M.H.A. Newman[1]的一个实例。本文的目的是构造具有可缩并非单连通边界& W， = Mr的特定4-流形W4（它们必须是同调3球），并具有以下附加性质
In a recent note [2], J. H. C. Whitehead exhibits involutions of Sn with fixed point sets non-simply connected, for n > 14. This is based on a certain example of M.H.A. Newman [1] of a contractible 5-manifold U5, with non-simply connected boundary. The purpose of this note is to construct specific 4-manifolds W4 which are contractible and have nonsimply connected boundaries & W, = Mr (which are necessarily homology 3-spheres), and which have the following additional property