Finite intersection of closed sets is not necessarily closed

  • Thread starter CantorSet
  • Start date
  • #1
44
0
Hi everyone,

I'm reading Rudin's Analysis and in the topology section, he implies that the finite intersection of closed sets is not necessarily closed. (pg. 34)

Can someone give an example of this? I can't seem to find one.
 

Answers and Replies

  • #2
348
0
Hi everyone,

I'm reading Rudin's Analysis and in the topology section, he implies that the finite intersection of closed sets is not necessarily closed. (pg. 34)

Can someone give an example of this? I can't seem to find one.

Can you quote what you're reading directly? Because an arbitrary intersection of closed sets is always closed.
 
  • #3
44
0
oops, you're right. I read it wrong.
 

Related Threads on Finite intersection of closed sets is not necessarily closed

  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
2
Views
3K
Replies
4
Views
4K
  • Last Post
Replies
6
Views
9K
  • Last Post
Replies
2
Views
1K
Replies
2
Views
3K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
17
Views
5K
  • Last Post
Replies
8
Views
3K
Top