Quasiregular Ellipticity of Open and Generalized Manifolds

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• 作者：Pekka Pankka (1)
  Kai Rajala (1)
  Jang-Mei Wu (2)
  
• 关键词：Quasiregular mappings ; Quasiregular ellipticity ; Decomposition spaces ; Semmes metrics ; Primary 30C65 ; Secondary 30L10
• 刊名：Computational Methods and Function Theory
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：14
• 期：2-3
• 页码：383-398
• 全文大小：345 KB
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  14. Pankka, P., Rajala, K.: Quasiregularly elliptic link complements. Geometriae Dedicata 154, 1鈥? (2011). doi:10.1007/s10711-010-9564-x CrossRef
  15. Pankka, P., Wu, J.-M.: Geometry and quasisymmetric parametrization of Semmes spaces. Revista Mat. Iberoamericana (to appear)
  16. Semmes, S.: Good metric spaces without good parameterizations. Rev. Mat. Iberoamericana 12(1), 187鈥?75 (1996) CrossRef
  17. Semmes, S.: On the nonexistence of bi-Lipschitz parameterizations and geometric problems about \(A_\infty \) -weights. Rev. Mat. Iberoamericana 12(2), 337鈥?10 (1996) CrossRef
  18. Whitehead, J.: A certain open manifold whose group is unity. Q. J. Math. Oxford, Ser. (2), 6, 268鈥?79 (1935)
  
• 作者单位：Pekka Pankka (1)
  Kai Rajala (1)
  Jang-Mei Wu (2)
  
  1. Department of Mathematics and Statistics, University of Jyv盲skyl盲, P.O. Box 35, 40014, 聽Jyv盲skyl盲, Finland
  2. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL聽, 61822, USA
  
• ISSN：2195-3724

文摘

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 \(\mathbb {S}^3\) .