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The Kuratowski Closure-Complement Problem

by James H. Fife (Ursinus College)

This article originally appeared in:
Mathematics Magazine
June, 1991

Subject classification(s): Geometry and Topology | Topology | Point Set Topology
Applicable Course(s): 4.20 Topology

The Kuratowski closure-complement theorem states that starting with any subset A of a topological space, and alternately taking closures and complements of A, no more than 14 different sets are generated.

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