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Proposition: Clopen Sets and Boundaries

A set is clopen if and only if its boundary is empty.

Table of Contents

Proofs: 1

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References

Bibliography

  1. Forster Otto: "Analysis 2, Differentialrechnung im \(\mathbb R^n\), Gewöhnliche Differentialgleichungen", Vieweg Studium, 1984
  2. Steen, L.A.;Seebach J.A.Jr.: "Counterexamples in Topology", Dover Publications, Inc, 1970
  3. Jänich, Klaus: "Topologie", Springer, 2001, 7th Edition