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Gehman Dendrite with Ski

The Gehman Dendrite with Ski Gs is a dendroid formed from the Gehman Dendrite G and the Cantor Ternary Set C with a formula

\begin{displaymath}
G_s = \{(x,y,z)\in R^3 : (x,y)\in G \} \cup
\{(x,y,z)\in R^3 : x\in C, y=0, \vert z\vert\le 1 \} \quad .
\end{displaymath}

In fact we attach uncountably many segments of length 2 with their midpoints to the points of Cantor Ternary Set (the end points of Gehman Dendrite). See [25, p. 16].

Gehman Dendrite with Ski- fig. a



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Janusz J. Charatonik and Pavel Pyrih
2000-09-21