|Sep4-08, 10:43 PM||#1|
topology on N
Hi...I'm new to the forum but I need help with the following question.
I need to find a topology on N for which there are exactly k limit points. k is a positive integer.
Tips I have received: find countable subsets in R...then a bijection will produce the needed topology on N?
Any help is greatly appreciated.
|Sep5-08, 02:11 AM||#2|
I'm not sure I understand your question. What does it mean for a topology to only have k limit points?
Presumably N is the set of natural numbers. Are you trying to consider N as a free-standing topological space, or are you trying to topologize R, and then give N the subspace topology?
|limit points, topology|
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