## The Michigan Mathematical Journal

### Lifting Homeomorphisms and Cyclic Branched Covers of Spheres

#### Abstract

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

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

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

Permanent link to this document
https://projecteuclid.org/euclid.mmj/1508810819

Digital Object Identifier
doi:10.1307/mmj/1508810819

Mathematical Reviews number (MathSciNet)
MR3720329

Zentralblatt MATH identifier
06822191

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

#### Citation

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. https://projecteuclid.org/euclid.mmj/1508810819

#### References

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