Recent content by t3128

Ok, this is what I have got: Let xn be in KnF. => xn is in K. =>We know that K is compact, so every sequence in K has a subsequence that converges to a limit that is also in K. => xn is in F. => By definition, if xn -> c , then c is in F. By B-W theorem, it must have a convergent...

Sorry I didn't quite understand that, would you please be able to explain it a bit more?

Homework Statement Show that if K is compact and F is closed, then K n F is compact. Homework Equations A subset K of R is compact if every sequence in K has a subsequence that converges to a limit that is also in K. The Attempt at a Solution I know that closed sets can be...