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]).

Lelek Fan- fig. a


Lelek Fan- fig. b


Source files: a.eps . a.gif . b.gif . example.htm . figure.mws . latex.tex . title.txt .

Here you can read Notes or write to Notes.