Smooth Dendroids as Inverse Limits of Dendrites

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow

Abstract

It is proved that a dendroid is smooth if and only if it can be represented as Ihe inverse limit of an inverse sequence of finite dendrites with bonding mappings which are monotone relatiye to points forming a thread. As a consequence another proof of the existence of a universal smooth dendroid [4) is obtained.

Recommended Citation

W. J. Charatonik, "Smooth Dendroids as Inverse Limits of Dendrites," Fundamenta Mathematicae, Institute of Mathematics, Polish Academy of Sciences, Jan 1984.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0016-2736

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1984 Institute of Mathematics, Polish Academy of Sciences, All rights reserved.

Publication Date

01 Jan 1984