General topology

In mathematics, general topology or point set topologythat branchtopology which studies elementary propertiestopological spacesstructures defined on them. Other main branchestopologyalgebraic topologydifferential topology.

It'sgeneral topology that basic notions, such as:

• openclosed sets;
• compact spaces;
• continuous functions;
• convergencesequences, netss,filterss
• separation axioms

are definedtheorems about themproved. Other more advanced notions also appear, butusually related directlythese fundamental concepts, without referenceother branchesmathematics.

Standard references

Some standard books on general topology include:

• Bourbaki; Topologie Générale (General Topology); ISBN 0-387-19374-X
• John Kelley; General Topology; ISBN 0-387-90125-6
• James Munkres; Topology; ISBN 0-13-181629-2
• Lynn Steen & Arthur Seebach; CounterexamplesTopology; ISBN 0-486-68735-X