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

Sometimes it seems like in the world of interesting mathematical examples, all roads lead to the Cantor set.

From Scientific American

Or maybe it’s more like all roads start from the Cantor set.

From Scientific American

Our most recent My Favorite Theorem episode features the Cantor set and a related space, Cantor dust, in an important way.

From Scientific American

I feel a little weird saying the Cantor set, though, because for the space I’m writing about today, it makes more sense to call it a Cantor set.

From Scientific American

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