= Topology
{wiki}
= Topological
{synonym}
Topology is the plumbing of <calculus>.
The key concept of topology is a <neighbourhood (mathematics)>.
Just by havin the notion of neighbourhood, concepts such as <limit (mathematics)> and <continuity> can be defined without the need to specify a precise numerical value to the distance between two points with a <metric (mathematics)>.
As an example. consider the <orthogonal group>, which is also naturally a <topological space>. That group does not usually have a notion of distance defined for it by default. However, we can still talk about certain properties of it, e.g. that <the orthogonal group is compact>, and that <the orthogonal group has two connected components>.