Recent content by blackangus

No we haven't learned about second countable yet, so I shouldn't be using that in my proof. Any other suggestions? Thank you!

Homework Statement Assume some metric space (K,d) obeys Lindelof, take (X,d) a metric subspace of (K,d) and show it too must obey Lindelof. The Attempt at a Solution I'm assuming since I know that (K,d) obeys Lindelof then there is some open cover that has a countable subcover say {Ji | i is a...