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Accumulation point
Cluster point in a topological space
Accumulation point
In mathematics, a limit point, accumulation point, or cluster point of a set S {\displaystyle S} in a topological space X {\displaystyle X} is a point x {\displaystyle x} that can be "approximated" by points of S {\displaystyle S} in the sense that every neighbourhood of x {\displaystyle x} contains a point of S {\displaystyle S} other than x {\displaystyle x} itself. A limit point of a set S {\displaystyle S} does not itself have to be an element of S . {\displaystyle S.} There is also a closely related concept for sequences. A cluster point or accumulation point of a sequence...
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