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.
Citation
Janusz Jerzy Charatonik. Wlodzimierz J. Charatonik. "Induced MO-mappings." Tsukuba J. Math. 23 (2) 245 - 252, October 1999. https://doi.org/10.21099/tkbjm/1496163871
Information
