The Freudenthal Compactification of Tree-like Generalized Continua
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.
W. J. Charatonik et al., "The Freudenthal Compactification of Tree-like Generalized Continua," Topology Proceedings, Auburn University, Jan 2013.
Mathematics and Statistics
Keywords and Phrases
Freudenthal compactification; generalized continuum; inverse limit; proper map; tree-like
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