Lelek Fan

We define the Lelek Fan F_L a subfan of the Cantor Fan F_C such that the set E(F_L) of its end points is dense in F_L, and $S(F_L)=\{v\} \cup E(F_L)$ is a connected set (where v denotes the top of the two fans F_C and $F_L \subset F_C$). It is known, that any two Lelek Fans are homeomorphic. See [39, p.9] . Moreover the Lelek Fan is homeomorphic to all its confluent images (see [37]).

Figure ( A ) Lelek Fan


Figure ( B ) Lelek Fan


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