Cut point
id:
cut-point-189-17861140
title:
Cut point
text:
In topology, a cut-point is a point of a connected space such that its removal causes the resulting space to be disconnected. If removal of a point doesn't result in disconnected spaces, this point is called a non-cut point. For example, every point of a line is a cut-point, while no point of a circle is a cut-point. Cut-points are useful to determine whether two connected spaces are homeomorphic by counting the number of cut-points in each space. If two spaces have different number of cut-point
brand slug:
wiki
category slug:
encyclopedia
description:
Point of a connected topological space, without which it becomes disconnected
original url:
https://en.wikipedia.org/wiki/Cut_point
date created:
2007-07-31T05:03:44Z
date modified:
2024-09-09T11:04:18Z
main entity:
{"identifier":"Q5196602","url":"https://www.wikidata.org/entity/Q5196602"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/6/6e/Cut-point.svg","width":415,"height":467}
fields total:
13
integrity:
16