New posts in Measure Theory

Prove that $f$ is one-to-one on $B$ and $f^{-1}:Y\to B$ is Borel.

identifying the measure $\lambda f^{-1}$ on the interval $[0,1]$

The relation between uniform integrability and dominated convergence theorem in the case of counting measure

Generated Sigma Algebras

derivative of the $L^p$-norm with respect to $p$

Working with infinitesimals of the form d(f(x)), for example d(ax), and relating them to dx (integration, delta function)

Forming a subset of $\mathbb{R}$ by coin tossing

Properties of distribution function

Example of absolutely continuous function $f$ with $\sqrt{f}$ not absolutely continuous

Showing that there is a point belonging to $2000$ sets.