New posts in Measurable Functions

Solving the functional equation $f(x)f(y)=c\,f(\sqrt{x^{2}+y^{2}})$

Condition for $L^r(\mu)=L^\infty(\mu)$ where $\mu(X)=1$

If $\int_0^1f^k(x)\;dx\le M$, then $m(\{x\in[0,1]:f(x)>1\})=0$.

Why is the set $\{x \mid f(x) \not= g(x)\}$ measurable in a topological hausdorff space?

Definition of a measurable function?