: [Mk] (Ex. 3.11.6) Let D be a compact set in R”, and f :D → R. The graph of f is the subset G= {(x,y) y = f(x)} c Rn+1
Posted: Tue Apr 26, 2022 5:29 pm
[Mk] stands for Analysis on Manifolds by J. Munkres.
: [Mk] (Ex. 3.11.6) Let D be a compact set in R”, and f
→ R. The graph of f is the subset G= {(x,y) y = f(x)} c Rn+1 (a) Show that Gf has Jordan content zero if f is continuous. (b) Show that Gf has Jordan content zero if D is a rectangle and f is integrable over D.
: [Mk] (Ex. 3.11.6) Let D be a compact set in R”, and f