Geodesic
A characterization of dendroids by the n-connectedness of the Whitney levels
Fundamenta Mathematicae, Tome 140 (1991) no. 2, pp. 157-174.

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Let X be a continuum. Let C(X) denote the hyperspace of all subcontinua of X. In this paper we prove that the following assertions are equivalent: (a) X is a dendroid, (b) each positive Whitney level in C(X) is 2-connected, and (c) each positive Whitney level in C(X) is ∞-connected (n-connected for each n ≥ 0).
DOI : 10.4064/fm-140-2-157-174

Alejandro Illanes 1

1 
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Alejandro Illanes. A characterization of dendroids by the n-connectedness of the Whitney levels. Fundamenta Mathematicae, Tome 140 (1991) no. 2, pp. 157-174. doi : 10.4064/fm-140-2-157-174. http://geodesic.mathdoc.fr/articles/10.4064/fm-140-2-157-174/

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