Cantor set

American  

noun

Mathematics.

1. the set obtained from the closed interval from 0 to 1 by removing the middle third from the interval, then the middle third from each of the two remaining sets, and continuing the process indefinitely.

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Etymology

Origin of Cantor set

After G. Cantor

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Example Sentences

See Examples For:

Cantor set

Our most recent My Favorite Theorem episode features the Cantor set and a related space, Cantor dust, in an important way.

From Scientific American ● Jul. 8, 2018

Any space with these properties can be called a Cantor set, and in some sense, there's nothing special about the middle-thirds construction.

From Scientific American ● Jul. 8, 2018

Sometimes it seems like in the world of interesting mathematical examples, all roads lead to the Cantor set.

From Scientific American ● Jul. 8, 2018

It feels like everywhere I turn, I run into the Cantor set.

From Scientific American ● Jul. 8, 2018

You might want to be familiar with the Cantor set before reading about the leaky tent—lucky for you, I wrote about it back in March.

From Scientific American ● Jun. 20, 2015

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