Last Updated
：2025/11/24
limit point
Noun
Japanese Meaning
位相空間において、ある集合Sの極限点とは、どの近傍も必ずその点自身とは異なる、Sに属する点を含むような点のことを指す。
（ plural ）
Quizzes for review
(topology) Given a subset S of a given topological space T, any point p whose every neighborhood contains some point, distinct from p, which belongs to S.
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limit point
In the standard topology on R, 0 is a limit point of the set {1/n : n ∈ N} because every neighborhood of 0 contains some 1/n distinct from 0.
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In the standard topology on R, 0 is a limit point of the set {1/n : n ∈ N} because every neighborhood of 0 contains some 1/n distinct from 0.
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