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.


Tags 
excluded, point, topology 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Difficulty understanding pointset topology theorem  LordofthePenguins  Topology  8  July 9th, 2013 12:44 PM 
The law of the excluded middle < i call it lem  tahir.iman  Applied Math  4  December 24th, 2012 01:33 PM 
Problem on product topology/standard topology on R^2.  vercammen  Topology  1  October 19th, 2012 11:06 AM 
discrete topology, product topology  genoatopologist  Topology  0  December 6th, 2008 10:09 AM 
discrete topology, product topology  Erdos32212  Topology  0  December 2nd, 2008 01:04 PM 