Could you guide me how to prove that any monotone function from $R\rightarrow R$ is Borel measurable? Should we separate the functions into continuous and non-continuous? How to prove for not continuous points?
Thanks for your help
Could you guide me how to prove that any monotone function from $R\rightarrow R$ is Borel measurable? Should we separate the functions into continuous and non-continuous? How to prove for not continuous points?
Thanks for your help