- #1
giantsfan000
- 3
- 0
Homework Statement
Suppose A and B are disjoint closed sets in the metric space X and assume
in addition that A is compact. Prove there exists ∆ > 0 such that for all
a ∈ A, b ∈ B, d(a, b) ≥ ∆
2. The attempt at a solution
I really don't have an attempt at a solution because I am 100% completely stuck. I just don't know where to start. I'm not looking for any answers or anything, if someone could just tell me the first step or so, or point me in the right direction, I'd be much obliged.
Thanks!