denotes the Borel sigma-algebra over the real line.
For any , let's denote the application
1. Show that is a sigma-algebra over the real line.
2. Show that contains all the intervals
3. Show that
Okay, so the main problem is that I don't know how and where to start... my first idea was to start by what's asked in question 3., so I believe this wasn't the right idea lol...
Thanks for any help