- #1
sdf123
- 2
- 0
Homework Statement
Prove that the function $\phi(t)=t^{-1}$ is Borel measurable.
Homework Equations
Any measurable function into $ (\mathbb{R},\mathcal{B}(\mathbb{R}))$, where $ \mathcal{B}(\mathbb{R})$ is the Borel sigma algebra of the real numbers $ \mathbb{R}$, is called a Borel measurable function
The Attempt at a Solution
I think I need to prove that t^{-1} is a Borel set, and so prove that it is open? I am quite unclear on the actual definition of a borel measurable function, and that is perhaps my problem.