The Michigan Mathematical Journal

Lifting Homeomorphisms and Cyclic Branched Covers of Spheres

Tyrone Ghaswala and Rebecca R. Winarski

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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 the question that appeared in an early version of the erratum of Birman and Hilden [2].

Article information

Michigan Math. J., Volume 66, Issue 4 (2017), 885-890.

Received: 3 August 2016
Revised: 1 December 2016
First available in Project Euclid: 24 October 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M12: Special coverings, e.g. branched
Secondary: 57M60: Group actions in low dimensions


Ghaswala, Tyrone; Winarski, Rebecca R. Lifting Homeomorphisms and Cyclic Branched Covers of Spheres. Michigan Math. J. 66 (2017), no. 4, 885--890. doi:10.1307/mmj/1508810819.

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