Question

Let f:[a,b]→(0,∞) be continuous and let Gf={(x,y):y=f(x)} be the graph of f. prove that Gf is measurable only if f is differentiable in (a,b)?

Answer 1

define measurable ?

Answer 2

Lebesgue Measurable?

Answer 3

there are many measures.....

Answer 4

bah I doubt I can help, I have never taken graph theory.