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April 29th, 2009, 08:49 PM  #1 
Newbie Joined: Jan 2009 Posts: 21 Thanks: 0  Spec(R), dense points
A point P in a topology for a set is called dense if P is contained in every nonempty open set of the topology. Alternatively, the closure of equals . Find and prove a necessary and sufficient condition for to have a dense point. The condition should related to the nilradical. How many dense points can have? I am not seeing how to approach this problem right now. Any helpful hints will be very greatly appreciated. Thank you. 

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dense, points, specr 
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