New posts in measurable-functions

If $f^{-1}((r,\infty))$ is measurable for all $r$ in $\mathbb{Q}$, prove that $f$ is measurable

measure-theory lebesgue-measure measurable-functions

The domain of the Haar measure of the $n$-dimensional Torus

measure-theory measurable-functions borel-sets borel-measures haar-measure

Does $Y$ $\mathcal{F_t}$-adapted and $X$ adapted to $Y$ imply that $X$ is $\mathcal{F_t}$-adapted?

probability-theory stochastic-processes measurable-functions filtrations

To show that a recursively defined sequence of functions converges pointwise to $0$.

real-analysis calculus measurable-functions sequence-of-function pointwise-convergence

Are Monotone functions Borel Measurable?

measure-theory monotone-functions measurable-functions borel-sets