Isolated point

id: isolated-point-323-6806907
title: Isolated point
text: In mathematics, a point x is called an isolated point of a subset S if x is an element of S and there exists a neighborhood of x that does not contain any other points of S. This is equivalent to saying that the singleton {x} is an open set in the topological space S. Another equivalent formulation is: an element x of S is an isolated point of S if and only if it is not a limit point of S. If the space X is a metric space, for example a Euclidean space, then an element x of S is an isolated poin
brand slug: wiki
category slug: encyclopedia
description: Point of a subset S around which there are no other points of S
original url: https://en.wikipedia.org/wiki/Isolated_point
date created:
date modified: 2023-11-16T06:48:38Z
main entity: {"identifier":"Q1142889","url":"https://www.wikidata.org/entity/Q1142889"}
image:
fields total: 13
integrity: 14

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