# Math Help - MAT322(Metric Space)

1. ## MAT322(Metric Space)

If A1,A2,......An, is a collection of n number of sets in a metric space, prove that their intersection is open.

2. ## Re: MAT322(Metric Space)

If each of the $A_i$ is closed and $\bigcap\limits_n {{A_n}} \ne \emptyset$ then $\bigcap\limits_n {{A_n}}$ is closed.
Did you mean each of the $A_i$ is open?