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An example of strongly self-homeomorphic dendrite not pointwise self-homeomorphic. (English) Zbl 1010.54038
Answering a question posed by W. J. Charatonik and A. Dilks [Topology Appl. 55, No. 3, 215-238 (1994; Zbl 0788.54040)], the author proves that there is a dendrite $$X$$ such that every nonempty open subset contains a homeomorphic image of $$X$$ having nonempty interior, and yet there is a point $$x\in X$$ and its neighbourhood containing no homeomorphic image of $$X$$ that would contain $$x$$.

##### MSC:
 54F50 Topological spaces of dimension $$\leq 1$$; curves, dendrites
##### Keywords:
self-homeomorphism
Zbl 0788.54040
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