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

In the case of the Cantor set and Antoine’s necklace, we can’t do that.

From Scientific American • Jul. 8, 2018

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

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

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

Then you connect every point in the Cantor set to the point p with a straight line.

From Scientific American • Jun. 20, 2015