[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] | ||

Mathematics-Online course: Basic Mathematics - Real Numbers | ||

## Cantor Set |

[previous page] [next page] | [table of contents][page overview] |

We divide the unit interval into three equals parts and remove the middle subinterval . Then, we repeat the procedure with the two remaining subintervals, i.e., we split each of them into three parts and remove the middle subintervals and , respectively.

Continuing the subdivision process indefinitely, we arrive in the limit at an uncountable set with measure

(Authors: Höllig/Kopf/Abele)

[previous page] [next page] | [table of contents][page overview] |

automatically generated 10/31/2008 |