Whitney immersion theorem
id:
whitney-immersion-theorem-270-2595279
title:
Whitney immersion theorem
text:
In differential topology, the Whitney immersion theorem states that for m > 1 , any smooth m -dimensional manifold has a one-to-one immersion in Euclidean 2 m -space, and a immersion in -space. Similarly, every smooth m -dimensional manifold can be immersed in the 2 m − 1 -dimensional sphere. The weak version, for 2 m + 1 , is due to transversality: two m-dimensional manifolds in R 2 m intersect generically in a 0-dimensional space.
brand slug:
wiki
category slug:
encyclopedia
description:
On immersions of smooth m-dimensional manifolds in 2m-space and (2m-1) space
original url:
https://en.wikipedia.org/wiki/Whitney_immersion_theorem
date created:
date modified:
2021-12-24T18:39:16Z
main entity:
{"identifier":"Q7996769","url":"https://www.wikidata.org/entity/Q7996769"}
image:
fields total:
13
integrity:
14