Timeline for Knot theory without planar diagrams?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 8, 2012 at 10:16 | comment | added | Marius Buliga | @Daniel: "Anything ... will have no dependence...", "surely cover most of knot theory ...", "the only place ..." and so on look to me as authority arguments. I am glad that my question receives such heated, say, comments, that simply means that the matter is not so obvious. I did an authority-based experiment on Scholar: "knot invariant -diagram" gives 15900 items, "knot invariant diagram" gives 11800 items and "knot invariant" gives 27200. | |
| Aug 7, 2012 at 14:43 | comment | added | Daniel Moskovich | @Misha: Knot theory papers are improved by good exposition, which may or may not include the use of figures. But if none of the arguments use Reidemeister's Theorem or any mathematical statement about knot diagrams, then diagrams of knots are an expositional flourish and nothing more. | |
| Aug 7, 2012 at 14:04 | comment | added | Misha | @Daniel: I guess the same argument would imply that geometry has no need for pictures since everything that could be proven with pictures, could be proven without them (actually, I heard this argument from some algebraists). Similarly, one could argue that no need for poetry since everything that could be said poetically could be said in prose as well... | |
| Aug 7, 2012 at 10:01 | history | answered | Daniel Moskovich | CC BY-SA 3.0 |