• Gerhard P. Hochschild


Let S be a subset of a metric space V. A point p of S is called an interior point of S if there is a positive real number δ such that every point of V whose distance from p is less than δ belongs to S. The set S is said to be open in V if every point of S is an interior point of S. If p is a point in V then every subset S of V containing p as an interior point is called a neighborhood of p in V. A subset of V is said to be closed in V if its complement in V is open.




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Copyright information

© Springer-Verlag New York Inc. 1983

Authors and Affiliations

  • Gerhard P. Hochschild
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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