A decomposition of smooth simply-connected $h$-cobordant 4-manifolds

A decomposition of smooth simply-connected $h$-cobordant 4-manifolds
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光滑单连通 $h$-协同 4-流形的分解

DOI:
10.4310/jdg/1214459222
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发表时间:
1995
影响因子:
2.5
通讯作者:
R. Matveyev
R. Matveyev
中科院分区:
数学1区
文献类型:
--
作者:
R. Matveyev

文献摘要

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我们证明了任意两个光滑的h-协同单连通4流形都可以得到,方法是取两个有边界的流形,其中一个是可收缩的,并通过两个不同的附加映射将它们粘在边界上。
We prove that any two smooth h-cobordant simply-connected 4-manifolds can be obtained by taking two manifolds with boundary, one of which is contractible, and gluing them along the boundary via two different attaching maps.