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, 10:00 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, 11:23 AMDrexel28Re: Closed set
- Sep 23rd 2011, 11:43 AMdwsmithRe: Closed set
- Sep 23rd 2011, 12:09 PMPlatoRe: Closed set
- Sep 23rd 2011, 12:23 PMdwsmithRe: Closed set
I think there is an issue. The also part is clarifying notation not part of the statement to prove.

- Sep 23rd 2011, 12:33 PMPlatoRe: Closed set