Editing General topology (section)

====Discrete and trivial topologies====
Any set can be given the [[discrete space|discrete topology]], in which every subset is open.  The only convergent sequences or nets in this topology are those that are eventually constant.  Also, any set can be given the [[trivial topology]] (also called the indiscrete topology), in which only the empty set and the whole space are open.  Every sequence and net in this topology converges to every point of the space.  This example shows that in general topological spaces, limits of sequences need not be unique. However, often topological spaces must be [[Hausdorff space]]s where limit points are unique.