Timeline for Extension of a smooth function from a convex set
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
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Jun 13, 2015 at 17:19 | vote | accept | Cepu | ||
Jun 12, 2015 at 8:28 | comment | added | Cepu | Since $\mathbb{R}^{n}$ is a convenient vector space as well, I can apply the results of this paper to my problem. But i don't understand why in the proposition 1.9 they show that the extension exists if the convex set is closed, with non-empty interior, and with smooth boundary. Assume that $C$ is a triangle in $\mathbb{R}^{2}$, and consider $f\: : \: C\to \mathbb{R}$, does the extension exists ? | |
Jun 11, 2015 at 18:28 | history | edited | Peter Michor | CC BY-SA 3.0 |
added 94 characters in body
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Jun 11, 2015 at 15:52 | history | answered | Peter Michor | CC BY-SA 3.0 |