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Definitions of accumulation point:
  • noun:   (topology, "of" a subset of a topological space) Given a subset S of a topological space X, a point x whose every neighborhood contains at least one point distinct from x that belongs to S.
  • noun:   (mathematical analysis, "of" a sequence) Given a sequence sᵢ, a point x whose every neighborhood contains at least one element of the sequence distinct from x.
  • noun:   (systems theory, dynamical systems, chaos theory) For certain maps, a point beyond which periodic orbits give way to chaotic ones.

(Definitions from Wiktionary)

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