Re: closed sets, limit points

From: MoeBlee <jazzmobe@xxxxxxxxxxx>
Date: 28 May 2007 18:39:18 -0700

On May 28, 3:01 am, frank <frank.degee...@xxxxxxxxx> wrote:

If a set contains all its limit points, it also contains its boundary
points, because these are limit points as well. But then, by
definition, the set is closed.

How do you show "every boundary point of C is a limit point of C"?

How do you show "every boundary point of C is a member of C" entails
"C is closed"?

MoeBlee

.

Follow-Ups:
- Re: closed sets, limit points
  - From: frank

References:
- closed sets, limit points
  - From: frank

Prev by Date: Re: JSH: A simple error
Next by Date: Re: Odd maths question(Simple)
Previous by thread: Re: closed sets, limit points
Next by thread: Re: closed sets, limit points
Index(es):
- Date
- Thread