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; 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

This document is currently not available here.

Share

 
COinS