1. Induced MO-mappings
- Author
-
Janusz J. Charatonik and Włodzimierz J. Charatonik
- Subjects
Maple ,Discrete mathematics ,Hyperspace ,Monotone polygon ,engineering ,engineering.material ,Mathematics - Abstract
A mapping $f$:$X\rightarrow Y$ between continua $X$ and $Y$ called an MO-mapping provided that it can be represented as the composition of two mappings, $f_{1}$: $X\rightarrow Z$ and $f_{2}$:$Z\rightarrow Y$, such that $f_{1}$ is open and $f_{2}$ is monotone. Induced MO-mappings, $2^{f}$ and $C(f)$ between hyperspaces are studied. In particular an example is constructed of an open mapping $f$: $[0,1]\rightarrow[0,1]$ for which $C(f)$ is not an MO-mapping. This answers two questions asked by H. Hosokawa.
- Published
- 1999