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.


Line Segment Convex Subset Interior Point Positive Real Number Finite Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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