The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics.
This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property.
The following topologies are a known source of counterexamples for point-set topology.
List of natural topologies.
Compactifications include: This lists named topologies of uniform convergence.