Abstract
For a continuum $X$, let $C_{n}(X)$ be the hyperspace of nonempty closed subsets of $X$ with at most $n$ components. In this paper we prove that if $X $ is a fan and $n\neq 2$, then $C_{n}(X)$ is a cone if and only if $X$ is a cone.
Citation
Alejandro Illanes. Veronica Martinez-de-la-Vega. Daria Michalik. "$n$-fold hyperspaces as cones." Rocky Mountain J. Math. 49 (7) 2185 - 2203, 2019. https://doi.org/10.1216/RMJ-2019-49-7-2185
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