Mappings of finite distortion: Size of the branch set

Abstrakt

We study the branch set of a mapping between subsets of R-n, i.e., the set where a given mapping is not defining a local homeomorphism. We construct several sharp examples showing that the branch set or its image can have positive measure.

Klíčová slova

• Mappings of finite distortion
• branch set
• Lusin's condition (N)