Multiplicity of Continuous Mappings of Domains

• Date: 2005
• Main Authors: Zelinskii, Yu. B., Зелинский, Ю. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3620
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that either the proper mapping of a domain of an n-dimensional manifold onto a domain of another n-dimensional manifold of degree k is an interior mapping or there exists a point in the image that has at least |k|+2 preimages. If the restriction of f to the interior of the domain is a zero-...