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HISTORY General topology grew out of a number of areas, most importantly the following:
It was codified, in much its form for the remainder of the Twentieth Century , around 1940. It captures, one might say, almost everything in the intuition of Continuity , in a technically adequate form that can be applied in any area of mathematics. SCOPE More specifically, it is in general topology that basic notions are defined and theorems about them proved. This includes the following:
Other more advanced notions also appear, but are usually related directly to these fundamental concepts, without reference to other branches of mathematics. Set-theoretic Topology examines such questions when they have substantial relations to Set Theory , as is often the case. Other main branches of topology are Algebraic Topology , Geometric Topology , and Differential Topology . As the name implies, general topology provides the common foundation for these areas. SEE ALSO
STANDARD REFERENCES Some standard books on general topology include:
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