On a mapping of a projective space into a sphere

• Date: 2010
• Main Authors: Zelinskii, Yu. B., Зелинский, Ю. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2926
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain an exact estimate for the minimum multiplicity of a continuous finite-to-one mapping of a projective space into a sphere for all dimensions. For finite-to-one mappings of a projective space into a Euclidean space, we obtain an exact estimate for this multiplicity for $n = 2, 3$. For $n ≥ 4...