Lifting Homeomorphisms and Cyclic Branched Covers of Spheres

Lifting Homeomorphisms and Cyclic Branched Covers of Spheres
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提升同胚和球体的循环分支覆盖

DOI:
10.1307/mmj/1508810819
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发表时间:
2016
影响因子:
0.9
通讯作者:
Rebecca R. Winarski
Rebecca R. Winarski
中科院分区:
数学3区
文献类型:
--
作者:
Tyrone Ghaswala;Rebecca R. Winarski

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我们刻画了2-球面的循环分支覆盖,其中球面的每一个同胚提升到覆盖曲面的一个同胚。这回答了一个问题,出现在早期版本的勘误的伯曼和希尔登[2]。
We characterize the cyclic branched covers of the 2-sphere where every homeomorphism of the sphere lifts to a homeomorphism of the covering surface. This answers a question that appeared in an early version of the erratum of Birman and Hilden [2].