Monotone Homogeneity of Dendrites
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.
J. J. Charatonik and W. J. Charatonik, "Monotone Homogeneity of Dendrites," Commentationes mathematicae Universitatis Carolinae, Charles University, Prague, Czech Republic, Jan 1997.
Mathematics and Statistics
Keywords and Phrases
confluent; dendrite; dendroid; homeomorphism; homogeneous; mapping; monotone; order of a point; ramification; standard; universal
Article - Journal
© 1997 Charles University, Prague, Czech Republic, All rights reserved.