A Collection of Dendroids
Abstract
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.
Recommended Citation
J. J. Charatonik and W. J. Charatonik, "A Collection of Dendroids," Mathematica Pannonica, Mathematica Pannonica, Jan 2000.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Contractible; Countable Property; Dendroid; Selectible; Smooth; Suslinian; Uniformly Arcwise Connected; Dendrites
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2000 Mathematica Pannonica, All rights reserved.
Publication Date
01 Jan 2000