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Limit Point

  • Definition: If A is a subset of the topological space X and if x is a point of X, we say that x is a limit point (or cluster point, or point of accumulation) of A if every neighborhood of x intersects A in some point other than X itself. Said differently, x is a limit point of A if it belongs to the closure of A - {x}. The point x may lie in A or not.

    Source: Topology (second edition) by James R. Munkres

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