Timeline for When is a critical value of a map contained in the interior of the image?
Current License: CC BY-SA 3.0
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May 7, 2016 at 2:06 | comment | added | Graham Cox | @AlexDegtyarev I agree that a complete (if and only if) classification cannot be purely local, but still think a partial answer may be possible. For instance, in the one-dimensional case the boundary of $F(M) \subset \mathbb{R}$ just consists of the maximum and minimum values of $F$, so any critical point that is not a local extrema must be mapped to the interior. | |
May 6, 2016 at 17:24 | comment | added | Alex Degtyarev | This is obviously not a local property. | |
May 6, 2016 at 17:17 | review | First posts | |||
May 6, 2016 at 17:24 | |||||
May 6, 2016 at 17:13 | history | asked | Graham Cox | CC BY-SA 3.0 |