# Thread: Real Analysis - Compact Sets #2

1. ## Real Analysis - Compact Sets #2

Show that if K is compact and F is closed, then K intersection F is compact.

2. Originally Posted by ajj86
Show that if K is compact and F is closed, then K intersection F is compact.
Hint: The intersection of two closed sets is closed.
Hint: The intersection of a bounded set and another set is bounded or empty.