accumulation point

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accumulation point (plural accumulation points)

  1. (topology) (said to be "of" a given subset of a topological space) a point whose every neighborhood contains infinitely many points belonging to the given subset
    • 1975, Bert Mendelson, Introduction to Topology, Third edition, New York: Dover Publications, Inc., published 1990, ISBN 0-486-66352-3, OCLC 932232056, §5.3, page 173:
      LEMMA 5.2    Let X be a Hausdorff space and A a subset of X. A point is an accumulation point of A if and only if a is a limit point of A.




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