Title

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

contractible; countable property; dendroid; selectible; smooth; suslinian; uniformly arcwise connected

Library of Congress Subject Headings

Dendrites

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2000 Mathematica Pannonica, All rights reserved.

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