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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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.
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页码：98 / 106
页数：8
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