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May 14th, 2009, 02:10 PM   #1
 
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Excluded Point Topology...

Hi guys,

Is the excluded point topology hausdorff or not?

Many thanks. x
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May 14th, 2009, 02:39 PM   #2
 
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Re: Excluded Point Topology...

Look at p and any other point the only open set containing p is the whole space, therefore can it be Hausdorff?
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May 15th, 2009, 11:32 PM   #3
 
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Re: Excluded Point Topology...

unless there is only two points.
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May 17th, 2009, 01:09 PM   #4
 
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Re: Excluded Point Topology...

No.
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