Geodesic
A continuum $X$ such that $C(X)$ is not continuously homogeneous
Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 1, pp. 97-101.

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A metric continuum $X$ is said to be continuously homogeneous provided that for every two points $p,q\in X$ there exists a continuous surjective function $f:X\rightarrow X$ such that $f(p)=q$. Answering a question by W.J. Charatonik and Z. Garncarek, in this paper we show a continuum $X$ such that the hyperspace of subcontinua of $X$, $C(X)$, is not continuously homogeneous.
DOI : 10.14712/1213-7243.2015.146
Classification : 54B20, 54F15
Keywords: continuum; continuously homogeneous; hyperspace 
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Illanes, Alejandro. A continuum $X$ such that $C(X)$ is not continuously homogeneous. Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 1, pp. 97-101. doi : 10.14712/1213-7243.2015.146. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.146/

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