Knaster–Kuratowski fan
id:
knaster-kuratowski-fan-290-7885069
title:
Knaster–Kuratowski fan
text:
In topology, a branch of mathematics, the Knaster–Kuratowski fan is a specific connected topological space with the property that the removal of a single point makes it totally disconnected. It is also known as Cantor's leaky tent or Cantor's teepee, depending on the presence or absence of the apex. Let C be the Cantor set, let p be the point ∈ R 2 , and let L , for c ∈ C , denote the line segment connecting to p . If c ∈ C is an endpoint of an interval deleted in the Cantor set, let X c = { ∈ L
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space that becomes totally disconnected with the removal of a single point
original url:
https://en.wikipedia.org/wiki/Knaster%E2%80%93Kuratowski_fan
date created:
date modified:
2022-01-14T21:39:36Z
main entity:
{"identifier":"Q4105873","url":"https://www.wikidata.org/entity/Q4105873"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/91/Kuratowski_fan.svg","width":512,"height":384}
fields total:
13
integrity:
15