# Thread: i need the proof fpr this statement

1. ## 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"

2. 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?

3. 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

4. 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

5. 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

6. 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