This is a list of useful examples in general topology, a field of mathematics.
Alexandrov topology Cantor space Co-kappa topology Cocountable topology Cofinite topology Compact-open topology Compactification Discrete topology Double-pointed cofinite topology Extended real number line Finite topological space Hawaiian earring Hilbert cube Irrational cable on a torus Lakes of Wada Long line Order topology Lexicographical/dictionary order Ordinal number topology Real line Split interval Overlapping interval topology Moore plane Sierpiński space Sorgenfrey line Sorgenfrey plane Space-filling curve Topologist's sine curve Trivial topology Unit interval Zariski topology
See also Counterexamples in Topology π-Base: An Interactive Encyclopedia of Topological Spaces