Denjoy's theorem on rotation number
id:
denjoy-s-theorem-on-rotation-number-196-16228565
title:
Denjoy's theorem on rotation number
text:
In mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of a special kind, namely an irrational rotation. Denjoy (1932) proved the theorem in the course of his topological classification of homeomorphisms of the circle. He also gave an example of a C1 diffeomorphism with an irrational rotation number that is not conjugate to a rotation.
brand slug:
wiki
category slug:
encyclopedia
description:
When a diffeomorphism of the circle is topologically conjugate to an irrational rotation
original url:
https://en.wikipedia.org/wiki/Denjoy%27s_theorem_on_rotation_number
date created:
date modified:
2023-07-25T00:08:10Z
main entity:
{"identifier":"Q4454940","url":"https://www.wikidata.org/entity/Q4454940"}
image:
fields total:
13
integrity:
14