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On dendroids with Kelley’s property. (English) Zbl 0648.54030
Summary: It is proved that if a dendroid has Kelley’s property, then it is smooth. This is a correction of an error in S. B. Nadler’s book “Hyperspaces of sets”, Monographs and Textbooks in Pure and Applied Mathematics. Vol. 49 (1978; Zbl 0432.54007).

##### MSC:
 54F15 Continua and generalizations 54F50 Topological spaces of dimension $$\leq 1$$; curves, dendrites 54B20 Hyperspaces in general topology
##### Keywords:
smoothless; dendroid; Kelley’s property
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