# Sigma-Algebra : Proof

We consider the sigma-algebra on the set of real numbers R which is defined by all singletons. Prove that this sigma-algebra is the same as...

(Please see the attachment for the full question.)

We consider the sigma-algebra on the set of real numbers R which is defined by all singletons. Prove that this sigma-algebra is the same as

T = {A C R : A or Ac is at most countable}.

https://brainmass.com/math/algebra/sigma-algebra-proof-13163

#### Solution Preview

** Please see the attached file for the complete solution **

Thanks for using BrainMass.

We consider the sigma-algebra on the set of real numbers R which is defined by all singletons. Prove that this sigma-algebra is the same as (please see the attached file)

A or ...

#### Solution Summary

This solution provides a detailed, step by step explanation of the given problem.

$2.19