Sigma Algebra

  • Thread starter wayneckm
  • Start date
  • #1
68
0
Hello all,

May someone give me an example of sigma-algebra which is not countably generated?

Apparently such example can only be found in a non-separable space?

Taking [tex]\mathbb R[/tex] as example,

1) Sigma-algebra generated by any subsets of a separable space is countably generated?

2) That in a non-compact space may also be countably generated?

3) That in a compact space is countably generated?

Please kindly address my correctness of the above statements. Thanks very much.

Wayne
 
Last edited:

Answers and Replies

Related Threads on Sigma Algebra

  • Last Post
Replies
8
Views
5K
  • Last Post
Replies
1
Views
8K
  • Last Post
Replies
4
Views
13K
  • Last Post
Replies
3
Views
6K
Replies
9
Views
2K
  • Last Post
Replies
3
Views
9K
  • Last Post
Replies
8
Views
4K
  • Last Post
Replies
20
Views
4K
  • Last Post
Replies
1
Views
6K
  • Last Post
Replies
6
Views
4K
Top