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Definition: Regular Open, Regular Closed

A set $B$ that equals its interior of its closure $B=B^{-\circ}$ is called regular open.

A set $B$ that equals its closure of its interior $B=B^{\circ-}$ is called regular closed.

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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