Approximation of Dendroids by Trees

Author

Robert Cauty
W. J. Charatonik, Missouri University of Science and TechnologyFollow
Jennifer Smith

Editor(s)

Zarichnyi, M. and Skaskic, O. and Banakh, T. (Taras)

Abstract

We prove that, for every dendroid X, every tree To contained in X and every e > 0, there exists a tree T, contained in X and containing To and an epslion-retraction of X onto T. This implies that every dendroid is the limit of a projective sequence formed of trees and retractions.

Recommended Citation

R. Cauty et al., "Approximation of Dendroids by Trees," Analysis and Topology, Lviv Polytechnic National University, Jan 2008.

Meeting Name

International Conference Analysis and Topology, Lviv University

Department(s)

Mathematics and Statistics

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2008 Lviv Polytechnic National University, All rights reserved.

Publication Date

01 Jan 2008