Finite intersection of closed sets is not necessarily closed

[CantorSet]

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.

 

[Newtime]

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.

 

[CantorSet]

oops, you're right. I read it wrong.