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

• Дата: 2011
• Автори: Sevost'yanov, E. A., Севостьянов, Е. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2011
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2789
• Назва журналу: 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...