A connected set with empty interior is necessarily a one point set?

Question

I am particularly interested in the case of metric spaces. Every example I have managed to build verifies it.

score 3 · Accepted Answer · answered Sep 22 '15 at 17:27

3

It's not true. Consider a line in the plane.

answered Sep 22 '15 at 17:27

Nate Eldredge

1 Answers1