Timeline for Condition on subsets of normed linear space such that "every real valued continuous function on the subset is uniformly continuous" imply boundedness
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 4, 2015 at 7:41 | answer | added | Robert Israel | timeline score: 2 | |
| Oct 4, 2015 at 7:38 | comment | added | Hanul Jeon | If our $A$ contains a ray (i.e. a set of the form $\{v+wt : t\ge 0\}$) then we can find a real-valued continuous, but not uniformly continuous function on $A$ - we just extend a non-uniformly-continuous function over a ray.) I suspect that such method can apply on an unbounded convex set. | |
| Oct 4, 2015 at 7:25 | comment | added | Yes | With smile: have you considered one-question-at-one-time? | |
| Oct 4, 2015 at 7:15 | history | asked | user228168 | CC BY-SA 3.0 |