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

Example Sentences

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

And it’s not just because we usually think of the Cantor set as living in two dimensions and Antoine’s necklace as living in three.

From Scientific American • Jul. 8, 2018

The Cantor set won’t be able to obstruct the loop.

From Scientific American • Jul. 8, 2018

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

From Scientific American • Jul. 8, 2018

If you’re trying to walk from a point in the Cantor set to the point p, you can’t do it.

From Scientific American • Jun. 20, 2015