Cantor set

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.

Word History and Origins

Origin of Cantor set¹

After G. Cantor

Example Sentences

My first “favorite space” post here is on the Cantor set, and I wrote it because I wanted to write about a function that is based on the Cantor set, and I felt like I was trying to cram way too much into one article.

From Scientific American

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

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

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

From Scientific American