A Collection of Dendroids
An uncountable collection of uniformly arcwise connected plane Suslinian dendroids is constructed which shows that the negations of the following properties: local connectedness, smoothness, pointwise smoothness, hereditary contractibility, and selectibility are not countable in this class of curves.
J. J. Charatonik and W. J. Charatonik, "A Collection of Dendroids," Mathematica Pannonica, Mathematica Pannonica, Jan 2000.
Mathematics and Statistics
Keywords and Phrases
Contractible; Countable Property; Dendroid; Selectible; Smooth; Suslinian; Uniformly Arcwise Connected; Dendrites
Article - Journal
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