May 14th, 2009, 02:10 PM  #1 
Member Joined: Dec 2008 Posts: 78 Thanks: 0  Excluded Point Topology...
Hi guys, Is the excluded point topology hausdorff or not? Many thanks. x 
May 14th, 2009, 02:39 PM  #2 
Senior Member Joined: Dec 2008 Posts: 306 Thanks: 0  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?

May 15th, 2009, 11:32 PM  #3 
Senior Member Joined: Jul 2008 Posts: 144 Thanks: 0  Re: Excluded Point Topology...
unless there is only two points.

May 17th, 2009, 01:09 PM  #4 
Senior Member Joined: Dec 2008 Posts: 306 Thanks: 0  Re: Excluded Point Topology...
No.


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