"Yes, and the definition of a measurable map is a function between two measure spaces which takes measurable sets to measurable sets, i.e.: a structure-preserving map between measure spaces."

That's not at all what I wrote. You really don't even know how to read a definition in math, do you? Do you know any math at all?

You are wrong again; a counterexample is trivial to construct.

Here you have no need to defend your knowledge of math in general, just on one point, the definition of a random variable.

You are seriously, flatly wrong mathematically. Name calling and refusing to read won't make your nonsense correct.

Enjoy looking like a fool before the world of computing, forever.