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Feb 19, 2020 at 12:11 comment added MAS In similar manner, can one define the approximate differentiability of a function $f:E\subset\mathbb R^n\to\mathbb R^m$? (It seems that if we take corresponding norms on both terms of the fraction in the above definition of approximate differentiability, then appriximate differentiability can be defined). Also, is it available in the literature?
Apr 13, 2018 at 10:12 answer added Mizar timeline score: 3
Apr 5, 2018 at 15:01 vote accept Piotr Hajlasz
Apr 5, 2018 at 14:45 answer added Dave L Renfro timeline score: 6
Apr 5, 2018 at 12:05 history edited Piotr Hajlasz CC BY-SA 3.0
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Apr 5, 2018 at 1:47 comment added fedja Right now we do: "P. Goldstein, P. Hajlasz, Appendix to ...". I suspect the other places (I also do not doubt that they exist) are titled similarly. If you couldn't find this reformulation in standard measure theory textbooks (I take it for granted that you checked Federer, Rudin, Bochkarev and such), most likely just nobody bothered to twist the standard definition this way in the main text. However, if I were writing a book and gave one definition, the other one would be assigned as an exercise. Are you sure that you haven't overlooked this possibility?
Apr 4, 2018 at 21:33 history asked Piotr Hajlasz CC BY-SA 3.0