Free involutions on S1 × Sn

被引:0
|
作者
Bjørn Jahren
Sławomir Kwasik
机构
[1] University of Oslo,Department of Mathematics
[2] Tulane University,Department of Mathematics
来源
Mathematische Annalen | 2011年 / 351卷
关键词
57S25; 57R67; 55P10;
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学科分类号
摘要
Topological free involutions on S1 × Sn are classified up to conjugation. We prove that this is the same as classifying quotient manifolds up to homeomorphism. There are exactly four possible homotopy types of such quotients, and surgery theory is used to classify all manifolds within each homotopy type.
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页码:281 / 303
页数:22
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