What is the relationship between discrete spaces and totally disconnected spaces, in general? Among Hausdorff spaces?
A space X is totally disconnected iff the only connected subsets of X are singletons, and A space X is discrete iff each point in X is an open set. That's all I know but I dont know how to relate this two. Can someone tell me any other main differences between the two other than these? I am totally unclear about the second question...Need help on that.