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
So in your opinion, is this what they consider as "all the intervals" ? (there is no further detail)For 2., .
Did they intend to say open intervals ?
Okay, so I believe we'll have to use the inclusion between sigma-algebras (argh there must be an ascii code for sigma lol)3. will follow from 1. and 2., because the intervals generate as a σ-algebra.
hehe ^^' thanks ![Linguistic note. The English word for application is mapping, or map.]
here. But for some reason, this Forum will only accept the numerical version of the character description, not the name. So &#863; will produce σ, but σ will not.