Thread: 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"

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"

Please read that statement.
What does it say? Is something left out?

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

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

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

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