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Article

Charatonik, Janusz J. ; Charatonik, Włodzimierz J.
Monotone homogeneity of dendrites. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 361-370
MSC: 54C10, 54F50, 54H20 | MR 1455503 | Zbl 0886.54030
Keywords:
confluent; dendrite; dendroid; homeomorphism; homogeneous; mapping; mo\-no\-tone; order of a point; ramification; standard; universal
Summary:
Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.
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