On the openness and discreteness of mappings with unbounded characteristic of quasiconformality

• Date: 2011
• Main Authors: Sevost'yanov, E. A., Севостьянов, Е. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2789
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The paper is devoted to the investigation of the topological properties of space mappings. It is shown that sense-preserving mappings $f : D \rightarrow \overline{\mathbb{R}^n}$ in a domain $D \subset \mathbb{R}^n$, n ≥ 2, which are more general than mappings with bounded distortion, are open and di...