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

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

From Scientific American ● Jul. 8, 2018

We can also stick the middle-thirds Cantor set in three dimensions and still run into a problem.

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

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

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