Monotone Homogeneity of Dendrites

Abstract

Su±cient as well as necessary conditions are studied for a dendrite ora dendroid to be homogeneous with respect to monotone mappings. The obtainedresults extend ones due to H. Kato and the Ørst named author. A number of openproblems are asked.

Department(s)

Mathematics and Statistics

Keywords and Phrases

confluent; dendrite; dendroid; homeomorphism; homogeneous; mapping; monotone; order of a point; ramification; standard; universal

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 Charles University, Prague, Czech Republic, All rights reserved.

Publication Date

01 Jan 1997

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