English Dictionary

limit point

名詞

(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.

日本語の意味

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。

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.

標準位相を持つ実数直線では、0は集合{1/n : n∈N}の極限点であり、0の任意の近傍には0と異なる1/nが含まれる。

意味（1）

(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.

sin ( cot 1/z) is an example of a function having infinitely many essential singularities with a limit point at z=0. It is an easy matter to give examples of elementary functions whose singularities have a countable number of limit points.

limit points （ plural ）