Jun 17, 2014 · Proving that a sequence is monotone and bounded Ask Question Asked 11 years, 6 months ago Modified 11 years, 6 months ago

Aug 28, 2023 · I'm reading "An introduction to measure theory" from Terry Tao and I'm stuck understanding part of the proof of the following theorem:(whole argument can be found …

Apr 17, 2016 · As I have always understood it (and various online references seem to go with this tradition) is that when one says a function is increasing or strictly increasing, they mean it is …

In words, it is a monotone class containing the algebra $\mathcal A$. Since $\mathcal M$ is the smallest monotone class containing $\mathcal A$, it must be contained in any other monotone …

Let f be a monotone function on the open interval (a,b). Then f is continuous except possibly at a countable number of points in (a,b). Assume f is increasing. Furthermore, assume (a,b) is bou...

Are Monotone functions Borel Measurable? Ask Question Asked 13 years ago Modified 5 years, 2 months ago

Jan 11, 2011 · Is there a continuous and monotone function that's nowhere differentiable ?

Jun 24, 2016 · Strongly monotone and cocoercive Ask Question Asked 9 years, 5 months ago Modified 9 years, 5 months ago

Jun 2, 2020 · I can understand that if $f$ is monotone, then $g$ is monotone by continuous inverse theorem. But is this really necessary for the inverse function theorem to be used?

May 24, 2020 · I am watching a very nice set of videos on measure theory, which are great. But I am not clear on what the motivation is behind the monotone convergence theorem--meaning …