It is shown that for every numbers $m_1, m_2 \in \{3, \dots, \omega\}$ there is a strongly self-homeomorphic dendrite which is not pointwise self-homeomorphic. The set of all points at which the dendrite is pointwise self-homeomorphic is characterized. A general method of constructing a large family of dendrites with the same property is presented.
@article{119355,
author = {Janusz Jerzy Charatonik and Pawe\l\ Krupski},
title = {On self-homeomorphic dendrites},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {43},
year = {2002},
pages = {665-673},
zbl = {1090.54030},
mrnumber = {2045788},
language = {en},
url = {http://dml.mathdoc.fr/item/119355}
}
Charatonik, Janusz Jerzy; Krupski, Paweł. On self-homeomorphic dendrites. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 665-673. http://gdmltest.u-ga.fr/item/119355/
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