On properties of continuous mapings of nonlimited metric spaces

• Date: 1991
• Main Authors: Davydov , N. A., Давыдов , Н. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1991
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9626
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Suppose a closed unbounded set $F\subset R_n$ is a union of a finite number $p$ of closed unbounded sets $F_i$ that are pairwise disjoint, and suppose $f$  is a continuous mapping of $F$ into the metric space $R^{(2)}$. With each set $F_i$ there is associated a point at infinity $\infty$, at which i...