Abstract
Let $f:X\rightarrow Y$ be a mapping between continua. Then $f$ induces two mappings $C(f):C(X)\rightarrow C(Y)$ and $2^{f}:2^{X}\rightarrow 2^{Y}$ in the natural way. In this paper, we shall study about the following question: Dose the correspondences $f\rightarrow C(f)$ and $f\rightarrow 2^{f}$ preserve or reverse what classes of mappings? When $Y$ is locally connected, many classes of mappings are preserved by these correspondences. We shall consider the classes of monotone, open, OM, confluent, quasi-monotone and weakly monotone mappings.
Citation
Hiroshi Hosokawa. "Induced mappings on hyperspaces." Tsukuba J. Math. 21 (1) 239 - 250, June 1997. https://doi.org/10.21099/tkbjm/1496163175
Information
