A characterization of dendroids by the n-connectedness of the Whitney levels
Illanes, Alejandro
Fundamenta Mathematicae, Tome 141 (1992), p. 157-174 / Harvested from The Polish Digital Mathematics Library
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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).

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:211935 
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     title = {A characterization of dendroids by the n-connectedness of the Whitney levels},
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     year = {1992},
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Illanes, Alejandro. A characterization of dendroids by the n-connectedness of the Whitney levels. Fundamenta Mathematicae, Tome 141 (1992) pp. 157-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv140i2p157bwm/

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