Disc theorem
id:
disc-theorem-290-390739
title:
Disc theorem
text:
In the area of mathematics known as differential topology, the disc theorem of Palais (1960) states that two embeddings of a closed k-disc into a connected n-manifold are ambient isotopic provided that if k = n the two embeddings are equioriented. The disc theorem implies that the connected sum of smooth oriented manifolds is well defined. A different although related and similar named result is the disc embedding theorem proved by Freedman in 1982.
brand slug:
wiki
category slug:
encyclopedia
description:
Two embeddings of a closed k-disc into a connected n-manifold are ambient isotopic
original url:
https://en.wikipedia.org/wiki/Disc_theorem
date created:
date modified:
2023-09-27T16:54:59Z
main entity:
{"identifier":"Q5281396","url":"https://www.wikidata.org/entity/Q5281396"}
image:
fields total:
13
integrity:
14