Thread: Examples of non-compact space with infinite subset

Could someone give an example of
a) a non-compact space with an infinite subset which has a limit point
b) A non-compact space with an infinite subset which has a no limit point

Originally Posted by SamBourne

Could someone give an example of
a) a non-compact space with an infinite subset which has a limit point


With the euclidean topology inherited from , the set and the set


b) A non-compact space with an infinite subset which has a no limit point

Do a very, VERY slight modification to the above example...
Tonio

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Thanks for your help, much appreciated