Question:(adsbygoogle = window.adsbygoogle || []).push({});

To show that sets made up of single points are Borel sets, it is enough to say that:

There exist a sample space A = {a1, a2,..., an} n = 1, 2,...

then Bn = {an}; where Bn belongs to A.

Then Bn is closed, and its complement must be open.

So the sigma algebra geberated by A is a orel field because it is formed by finite unions and intersections of open sets?

I am some confused here...

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Borel Sets

**Physics Forums | Science Articles, Homework Help, Discussion**