Finite intersection of closed sets is not necessarily closed

  • Thread starter CantorSet
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  • #1
CantorSet
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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
Newtime
348
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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
CantorSet
44
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oops, you're right. I read it wrong.
 

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