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

See Examples For:

Cantor set

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

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

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

For every point x in the Cantor set, we have a line connecting x to p.

From Scientific American ● Jun. 20, 2015