Maimonid 2009-07-24 09:42:33
Does anyone know an example of a stricly increasing continuous
function (hence invertible) whose invert is not absolutely continuous?
Zdislav v. kov 2009-07-25 22:49:46
Let C(x) be the Cantor function — non-increasing, continuous, whose
derivative is 0 almost everywhere; add x. Take the inverse.
Maimonid 2009-07-25 22:50:44
Thank you. This is a good idea, but how do you prove that the
invert function is absolutely continuous?