**AN EXAMPLE RELATED TO STRONGLY POINTWISE SELF-HOMEOMORPHIC
DENDRITES**

##
*Pavel Pyrih*

**Address.** Department of Mathematical Analysis, Charles University,
Sokolovsk\'a 83, CZ-186\, 75 Prague, CZECH REPUBLIC

**E-mail:** pyrih@karlin.mff.cuni.cz

**Abstract.** Such spaces in which a homeomorphic image of the whole
space can be found in every open set are called \it self-homeomorphic.
\rm W.J. Charatonik and A. Dilks posed a problem related to strongly pointwise
self-homeomorphic dendrites. We solve this problem negatively in Example
2.1.

**AMSclassification.** 54F15, 54C25, 54F50

**Keywords.** Continuum, dendrite, self-homeomorphic