The Hausdorff condition
Wilson A Sutherland · 2009
Abstract So far in this book, we have been marching relentlessly towards generality. In this chapter we take a small step backwards, admitting that for many, though not all, purposes topological spaces are rather too general, and it is good to impose an extra condition on our spaces. To motivate this condition, let us try to generalize the idea of convergence of a sequence of real numbers to topological spaces.