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derived set (Definition)

Definition. Let $ X$ be a topological space and let $ A$ be a subset of $ X$. The derived set $ A'$ of $ A$ is the set of all limit points of $ A$ in $ X$ [1].

Bibliography

1
J.L. Kelley, General Topology, D. van Nostrand Company, Inc., 1955.



"derived set" is owned by bwebste. [ full author list (2) | owner history (1) ]
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See Also: Cantor-Bendixson derivative
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Cross-references: limit points, subset, topological space
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This is version 4 of derived set, born on 2003-04-23, modified 2007-08-09.
Object id is 4207, canonical name is DerivedSet.
Accessed 2569 times total.

Classification:
AMS MSC: 54-00 (General topology :: General reference works )
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