# Closed Sets

1. Nov 15, 2009

### Pjennings

1. The problem statement, all variables and given/known data
Show that the intersection of two closed sets is closed.

2. Relevant equations

3. The attempt at a solution
Let X and Y be closed sets i.e. X and Y are equal to their closure X_ and Y_. Then X$$\cap$$Y is equal to X_$$\cap$$Y_.

2. Nov 15, 2009

### Dick

And how would that show X intersect Y is closed?