Can anybody tell me what is a countable connected Hausdorff space??
I know that
Connected: A topological space is connected if it is not the union of a pair of disjoint sets
Countable: A set is countable if it is finite or countably infinite
Hausdorff space: has distinct points which have disjoint neighborhoods.
So by applying these three definitions does that mean a countable connected Hausdorff space is a finite connected space with disjoint neighborhoods?
How would one picture this?