Properties of Metric Spaces & Isometries – Lecture 17 (Topology)

The proof that every metric space is Hausdorff uses two open balls centered at X and Y. What radius is chosen for each ball?

1. A.ε, where ε = d(X, Y)
2. B.ε/2, where ε = d(X, Y)
3. C.1, regardless of d(X, Y)
4. D.d(X, Y)², for added separation