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general topology

   Also found in: Wikipedia 0.01 sec.
general topology [¦jen·rəl tə′päl·ə·jē]
(mathematics)
The branch of topology that studies the relationships between the basic topological properties that spaces may possess. Also known as point-set topology.


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The first seven chapters cover the usual topics of point-set or general topology, including topological spaces, new spaces from old ones, connectedness, the separation and countability axioms, and metrizability and paracompactness, as well as special topics such as contraction mapping in metric spaces, normed linear spaces, the Frechet derivative, manifolds, fractals, compactifications, the Alexander subbase, and the Tychonoff theorems.
Introduction Connectivity is one of the most important notions in general topology.
 
 
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