Displaying similar documents to “On pointwise smooth dendroids”

On smooth dendroids

Janusz Charatonik, Carl Eberhart (1970)

Fundamenta Mathematicae

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Hyperspace retractions for curves

Charatonik Janusz J., Charatonik Włodzimierz J., Omiljanowski Krzysztof, Prajs Janusz R.

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AbstractWe study retractions from the hyperspace of all nonempty closed subsets of a given continuum onto the continuum (which is naturally embedded in the hyperspace). Some necessary and some sufficient conditions for the existence of such a retraction are found if the continuum is a curve. It is shown that the existence of such a retraction for a curve implies that the curve is a uniformly arcwise connected dendroid, and that a universal smooth dendroid admits such a retraction. The...

Ultrasmoothness in dendroids

Isabel Puga, Miriam Torres (2008)

Colloquium Mathematicae

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The class of ultrasmooth dendroids is contained in the class of smooth dendroids and contains the class of locally connected dendroids. In this paper we study relationships between ultrasmoothness and smoothness in dendroids and we characterize ultrasmooth dendroids.