bn:01574044n
Noun Concept
Categories: General topology, Articles with short description, Topology, Limit sets
EN
accumulation point  limit point  cluster point  cluster point of a set  complete accumulation point
EN
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} with respect to the topology on X {\displaystyle X} also contains a point of S {\displaystyle S} other than x {\displaystyle x} itself. Wikipedia
English:
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EN
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} with respect to the topology on X {\displaystyle X} also contains a point of S {\displaystyle S} other than x {\displaystyle x} itself. Wikipedia