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

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

To verify that Antoine’s necklace is a Cantor set, we have to check that it satisfies the three conditions above.

From Scientific American • Jul. 8, 2018

In Cantor’s leaky tent, the countably many endpoints of the Cantor set are paired with the countably many rational points on the line to p.

From Scientific American • Jun. 20, 2015

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