The branch set of a quasiregular mapping. (English) Zbl 1005.30019
Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 691-700 (2002).
The aim of the paper under review is how branched covering mappings are used for quasiregular mappings. A branched covering mapping is a continuous mapping between topological spaces \(X\) and \(Y\) which is an open mapping and for which the preimage for each \(y\in Y\) is a discrete subset of \(X\). Another problem discussed there is the parametrization for metric spaces. Relations between these both problems are also given. The paper is a summary of known results and some unknown and unpublished results of the author and M. Bonk, M. Bonk and U. Lang are announced.
For the entire collection see [Zbl 0993.00022].
For the entire collection see [Zbl 0993.00022].
Reviewer: Bodo Dittmar (Halle)
MSC:
| 30C65 | Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations |
