Zorich's theorem

In mathematical analysis, Zorich's theorem was proved by Vladimir A. Zorich in 1967. As cited by The result was conjectured by M. A. Lavrentev in 1938. As cited by

Theorem

Every locally homeomorphic quasiregular mapping for , is a homeomorphism of .

The fact that there is no such result for is easily shown using the exponential function.

References