[Home]History of Cantor set

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Revision 19 . . December 18, 2001 12:45 am by AxelBoldt [+fractal]
Revision 18 . . December 1, 2001 5:34 am by Zundark [every nonempty totally-disconnected perfect compact metric space is homeomorphic to the Cantor set]
Revision 17 . . December 1, 2001 5:31 am by Zundark
Revision 16 . . December 1, 2001 4:51 am by AxelBoldt [it is compact. Is it homoeomorphic to the 3-adics?]
Revision 15 . . December 1, 2001 4:47 am by AxelBoldt [it is compact.]
Revision 14 . . November 19, 2001 7:24 am by AxelBoldt [+link to p-adic numbers]
  

Difference (from prior major revision) (no other diffs)

Added: 30a31,34

The Cantor set is a fractal




The Cantor set is the prototype of a fractal. It is self-similar, because it is equal to two copies of itself, if each copy is shrunk by a factor of 1/3 and translated. Its Hausdorff dimension is equal to ln(2)/ln(3).


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