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 Connectedness im kleinen and components in $C(X)$ Bull. Korean Math. Soc. 1997 Vol. 34, No. 2, 225-231 Joo Ran Moon, Kul Hur, and Choon Jai Rhee Wonkwang University, Wonkwang University, Wayne State University Abstract : If the hyperspace $C(X)$ is connected im kleinen at $A \in \Cal A(a)$, is the admissible fiber at $a$,then $C(X)$ is connected im kleinen at each subcontinuum $B$ which contains $A$. In case $X$ has property $k$ and $C(X)$ is not connected im kleinen at a point $A \in C(X)$, $C(X)$ is not connected im kleinen at each subcontinuum of $A$. Keywords : hyperspace, connected im kleinen, metric continuum, admissible MSC numbers : 54B20 Downloads: Full-text PDF