An inverse to the Poincaré conjecture

被引：0

作者：

M. Kreck

机构：

[1] Mathematisches Institut,

[2] Universität Heidelberg,undefined

[3] 69120 Heidelberg,undefined

[4] Mathematisches Forschungsinstitut Oberwolfach,undefined

[5] 77709 Oberwolfach,undefined

[6] Federal Republic of Germany,undefined

来源：

Archiv der Mathematik | 2001年 / 77卷

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D O I：

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中图分类号：

学科分类号：

摘要：

The notion of Poincaré manifolds is introduced, which are roughly 1-connected manifolds which are determined by tem heir homology. The Poincaré conjecture says that spheres are Poincaré manifolds. The determination of all Poincaré manifolds is a sort of inverse to the Poincaré conjecture. Besides some information in low dimensions we give some results on generalized Poincaré manifolds.

引用

页码：98 / 106

页数：8

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