Wild arc
id:
wild-arc-175-8550032
title:
Wild arc
text:
In geometric topology, a wild arc is an embedding of the unit interval into 3-dimensional space not equivalent to the usual one in the sense that there does not exist an ambient isotopy taking the arc to a straight line segment. Antoine (1920) found the first example of a wild arc, and Fox & Artin (1948) found another example called the Fox-Artin arc whose complement is not simply connected.
brand slug:
wiki
category slug:
encyclopedia
description:
Embedding of the unit interval into 3-space ambient isotopy inequivalent to a line segment
original url:
https://en.wikipedia.org/wiki/Wild_arc
date created:
2010-01-18T17:00:18Z
date modified:
2024-09-03T04:18:15Z
main entity:
{"identifier":"Q8000891","url":"https://www.wikidata.org/entity/Q8000891"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/en/2/28/Wild3.png","width":1911,"height":713}
fields total:
13
integrity:
16