Title

The Freudenthal Compactification of Tree-like Generalized Continua

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.

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.

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