by Sung Soo Kim
This article originally appeared in:
American Mathematical Monthly
March, 1999
Subject classification(s):
Analysis | Real Analysis | Continuity | Metric Spaces | Geometry and Topology | Topology | Point Set TopologyApplicable Course(s):
4.11 Advanced Calc I, II, & Real Analysis | 4.20 TopologyLet \(X\) be a nonempty metric space without isolated points. If \(G \) is a countable intersection of open sets, the author shows that there is a function \(\phi (x) \) that is continuous exactly on \(G\).
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