Timeline for Is a "knot knot" or "double knot" a thing in knot theory?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Jan 19, 2016 at 11:55 | vote | accept | Rick Rothenberg | ||
| Jan 18, 2016 at 23:55 | history | edited | Douglas Zare | CC BY-SA 3.0 |
Removed extra stuff about satellite knots.
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| Jan 18, 2016 at 23:34 | history | edited | Douglas Zare | CC BY-SA 3.0 |
added 288 characters in body
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| Jan 18, 2016 at 23:23 | comment | added | Douglas Zare | @JimConant: By meridianal disk, I meant topological meridianal disk. | |
| Jan 18, 2016 at 23:23 | comment | added | Ryan Budney | Oh, okay. But readers should be aware that your defnition is a special case of the ones you see in the original articles (Schubert) as well as most textbooks and research articles that use the notion. | |
| Jan 18, 2016 at 23:18 | comment | added | Jim Conant | You need to say it a bit more strongly than how you did it, Douglas, since you could take a messy embedding of the knot into the torus which is still isotopic to one that meets some disk in one or zero points. | |
| Jan 18, 2016 at 23:05 | comment | added | Douglas Zare | @Ryan Budney: Yes, that's one definition, but I don't like that one. I said that the meridianal disk has to intersect the knot at least twice, which I think rules out connected sums and gives a $\pi_1$-injective torus. | |
| Jan 18, 2016 at 22:36 | comment | added | Ryan Budney | All satellite knots are prime.... except for the ones that are not! :) Connect-sums are satellite knots, and they are not prime. | |
| Jan 18, 2016 at 22:31 | history | answered | Douglas Zare | CC BY-SA 3.0 |