Cappell-Shaneson homotopy spheres are standard

Cappell-Shaneson homotopy spheres are standard
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Cappell-Shaneson 同伦球是标准配置

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发表时间:
2009
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影响因子:
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通讯作者:
S. Akbulut
S. Akbulut
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文献类型:
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作者:
S. Akbulut

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本文证明了由Cappell-Shaneson构造的同伦4-球面的无穷序列都是S4的同胚.这推广了Akbulut-Kirby和Gompf的结果。
We show here that an infinite sequence of homotopy 4-spheres constructed by Cappell-Shaneson are all diffeomorphic to S 4 . This generalizes previous results of Akbulut-Kirby and Gompf.