The Freudenthal Compactification of Tree-like Generalized Continua

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow
Tomás Fernández-Bayort
Antonio Quintero

Abstract

Tree-likeness of generalized continua is defined by meansof inverse limits of locally finite trees with proper bonding maps.The main theorem of this paper shows that the Freudenthal com-pactification preserves and reflects tree-likeness. Some consequencesof interest are given.

Recommended Citation

W. J. Charatonik et al., "The Freudenthal Compactification of Tree-like Generalized Continua," Topology Proceedings, Auburn University, Jan 2013.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Freudenthal compactification; generalized continuum; inverse limit; proper map; tree-like

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Auburn University, All rights reserved.

Publication Date

01 Jan 2013