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Quasiregular Ellipticity of Open and Generalized Manifolds

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Abstract

We study the existence of geometrically controlled branched covering maps from \(\mathbb R^3\) to open \(3\)-manifolds or to decomposition spaces \(\mathbb {S}^3/G\), and from \(\mathbb {S}^3/G\) to \(\mathbb {S}^3\).

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Acknowledgments

P.P. and K.R. are supported by the Academy of Finland. J-M.W. is partially supported by the National Science Foundation grant DMS-1001669.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40014,  Jyväskylä, Finland

    Pekka Pankka & Kai Rajala

  2. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL , 61822, USA

    Jang-Mei Wu

Authors
  1. Pekka Pankka
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  2. Kai Rajala
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  3. Jang-Mei Wu
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Corresponding author

Correspondence to Kai Rajala.

Additional information

Communicated by Matti Vuorinen.

Dedicated to the memory of Fred Gehring, whose work has been our inspiration.

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Pankka, P., Rajala, K. & Wu, JM. Quasiregular Ellipticity of Open and Generalized Manifolds. Comput. Methods Funct. Theory 14, 383–398 (2014). https://doi.org/10.1007/s40315-014-0052-4

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  • DOI: https://doi.org/10.1007/s40315-014-0052-4

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