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Ep164 - Lisa Piccirillo | How You Too Can Solve 50+ Year Old Problems

Talks at Google

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The Common Not Problem

If you have a pair of knots where the space assigned to one of them is the same as the space assigned to the other, then either the knots are both slice, or neither of them are slits. So when i heard about the common not problem, i thought like, well, i'll try to build another knot that has the same space as the conway not and i'll study this other knot instead. And it was, yesras, yes. This trick kind of gets you around this pathology. You know, the conway not, like it's this weird guy, is really similar to some other knot. That's part why it's so hard to show that conway

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