MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Sharpness of Rickman’s Picard theorem in all dimensions

David Drasin Department of Mathematics, Purdue University Pekka Pankka Department of Mathematics and Statistics, P.O. Box 68, (Gustaf Hällströmin katu 2b), University of Helsinki, Finland

Dynamical Systems mathscidoc:1701.11008

Acta Mathematica, 214, (2), 209-306, 2013.4
We show that given $${n \geqslant 3}$$ , $${q \geqslant 1}$$ , and a finite set $${\{y_1, \ldots, y_q \}}$$ in $${\mathbb{R}^n}$$ there exists a quasiregular mapping $${\mathbb{R}^n\to \mathbb{R}^n}$$ omitting exactly points $${y_1, \ldots, y_q}$$ .
No keywords uploaded!
[ Download ] [ 2017-01-08 20:34:04 uploaded by actaadmin ] [ 1476 downloads ] [ 0 comments ] [ Cited by 7 ] 
@inproceedings{david2013sharpness,
  title={Sharpness of Rickman’s Picard theorem in all dimensions},
  author={David Drasin, and Pekka Pankka},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203404861776801},
  booktitle={Acta Mathematica},
  volume={214},
  number={2},
  pages={209-306},
  year={2013},
}
David Drasin, and Pekka Pankka. Sharpness of Rickman’s Picard theorem in all dimensions. 2013. Vol. 214. In Acta Mathematica. pp.209-306. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203404861776801.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved