Timeline for Notion of smoothness for set-valued functions
Current License: CC BY-SA 2.5
4 events
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Sep 8, 2010 at 15:18 | history | edited | rpotrie | CC BY-SA 2.5 |
added 30 characters in body
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Sep 8, 2010 at 15:16 | comment | added | rpotrie | I will edit that. I misunderstood the definition. | |
Sep 8, 2010 at 15:01 | comment | added | Willie Wong | I don't understand the claim that "open convex cone of $T_pM$ is defined by a subspace together with an angle". I do not require my cone to be a quadratic cone (in which case your argument is very nice). I want cone in the sense that if $v$ is in the set, then $rv$ is also in the set for any positive real $r$. In particular, associated to any open, convex shape in $\mathbb{S}^{d-1}$ is an open convex cone in $\mathbb{R}^d$. The open condition does, however, ensures that the cones cannot collapse. | |
Sep 8, 2010 at 14:33 | history | answered | rpotrie | CC BY-SA 2.5 |