# Cantor Set

A Cantor set is a particular example of an uncountable set of measure zero constructed from a unit interval by recursively removing the middle third of subintervals.

Cantor set is a college-level concept that would be first encountered in an analysis course.

### Prerequisites

Infinity: | Infinity is an unbounded quantity greater than every real (and every whole) number. |

Measure: | A measure is a function that quantifies the size of a subset of a Euclidean space. Measures are used for integration and are important in differential equations and probability theory. |

Real Number: | A real number is a number corresponding to a point on the real number line. |

Set: | In mathematics, a set is a finite or infinite collection of objects in which order has no significance and multiplicity is generally also ignored. |