If a subset of a top. space is closed, then it contains all its limit points.

So I need to show that if is closed then .

Since A is closed, is open. Also,

A' is the set of all limit points of A.

I am not sure if this helps, but

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- Sep 23rd 2011, 09:00 AMdwsmithClosed set
If a subset of a top. space is closed, then it contains all its limit points.

So I need to show that if is closed then .

Since A is closed, is open. Also,

A' is the set of all limit points of A.

I am not sure if this helps, but

- Sep 23rd 2011, 10:23 AMDrexel28Re: Closed set
- Sep 23rd 2011, 10:43 AMdwsmithRe: Closed set
- Sep 23rd 2011, 11:09 AMPlatoRe: Closed set
- Sep 23rd 2011, 11:23 AMdwsmithRe: Closed set
I think there is an issue. The also part is clarifying notation not part of the statement to prove.

- Sep 23rd 2011, 11:33 AMPlatoRe: Closed set