derived set

Definition. Let X be a topological spaceMathworldPlanetmath and let A be a subset of X. The derived set A of A is the set of all limit pointsPlanetmathPlanetmath of A in X [1].


  • 1 J.L. Kelley, General Topology, D. van Nostrand Company, Inc., 1955.
Title derived set
Canonical name DerivedSet
Date of creation 2013-03-22 13:35:06
Last modified on 2013-03-22 13:35:06
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 7
Author bwebste (988)
Entry type Definition
Classification msc 54-00
Related topic CantorBendixsonDerivative