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Accumulation point

Noun

Definitions

1.NounGiven 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.
2.NounGiven a sequence si, a point x whose every neighborhood contains at least one element of the sequence distinct from x.
3.NounFor certain maps, a point beyond which periodic orbits give way to chaotic ones.

Synonyms

limit pointcondensation pointinterior pointopen settopologysubspace topologydiscrete setbolzano-weierstrass propertyunderlying setboundarydiscrete topologytopological space
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