List of examples in general topology

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

• Counterexamples in Topology
• π-Base: An Interactive Encyclopedia of Topological Spaces