Timeline for Basic results with three or more hypotheses
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Oct 22, 2010 at 20:02 | comment | added | gowers | That's logically true, but psychologically something happens with the new terminology. A convex body isn't a body that's convex (what's a body?) but an indivisible term that happens to be made of two words. And it becomes the object studied rather than hypotheses applied to a more general object. | |
| Oct 22, 2010 at 15:49 | comment | added | Tony Scholl | That is still 3 hypotheses: "symmetric", "convex", "body" :-) | |
| Oct 22, 2010 at 15:05 | comment | added | gowers | That's a nice example, but in a way it illustrates exactly the point that we don't like too many hypotheses, since we go on to define a convex body in R^n to be a compact convex set with nonempty interior. Then an equivalent statement to yours is that a set is the closed unit ball of a norm if and only if it is a symmetric convex body. | |
| Oct 22, 2010 at 13:30 | history | answered | Tony Scholl | CC BY-SA 2.5 |