# i need the proof fpr this statement

• Oct 6th 2009, 03:48 AM
raed
i need the proof fpr this statement
hello;
please Ineed the poof of this statement:
"If X is acluster point of A subset of R and U any open set ofX can have no isolated points"
• Oct 6th 2009, 03:55 AM
Plato
Quote:

Originally Posted by raed
hello;
please Ineed the poof of this statement:
"If X is acluster point of A subset of R and U any open set ofX can have no isolated points"

What does it say? Is something left out?
• Oct 6th 2009, 04:01 AM
tonio
Quote:

Originally Posted by raed
hello;
please Ineed the poof of this statement:
"If X is acluster point of A subset of R and U any open set ofX can have no isolated points"

I'm afraid your question makes no sense: try to write it down again carefully.

Tonio
• Oct 6th 2009, 05:06 PM
raed
Quote:

Originally Posted by tonio
I'm afraid your question makes no sense: try to write it down again carefully.

Tonio

Let x be a space having no isolated points .prove that every open subset of x can have no isolated points
• Oct 6th 2009, 07:56 PM
tonio
Quote:

Originally Posted by raed
Let x be a space having no isolated points .prove that every open subset of x can have no isolated points

Well this is trivial, unless I'm missing something or the question's missing something: if some open subset A of X has an isolated point then that point is an isolated ppoint of X...

Tonio
• Oct 6th 2009, 11:52 PM
raed
Quote:

Originally Posted by tonio
Well this is trivial, unless I'm missing something or the question's missing something: if some open subset A of X has an isolated point then that point is an isolated ppoint of X...

Tonio

yes