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The Wazewski's Universal Dendrite is well known
continuum which serves as the universal element in the
class of all dendrites. We start with a
Locally Connected Fan
. Denote
. Now we
attach sufficiently small copies of
to all
midpoints of all maximal free arcs in D1 and obtain a
dendrite D2. Continuing in this fashion, we obtain the
sequence of dendrites {Dn} and the
Wazewski's Universal Dendrite
is the closure of their union. For
details see [65, p.181-185].
Wazewski's Universal Dendrite- fig.
a
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Janusz J. Charatonik and Pavel Pyrih
2000-09-21