Degree of a continuous mapping
id:
degree-of-a-continuous-mapping-259-6924552
title:
Degree of a continuous mapping
text:
In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping. The degree is always an integer, but may be positive or negative depending on the orientations. The degree of a map was first defined by Brouwer, who showed that the degree is homotopy invariant, and used it to prove the Brouwer fixed point theorem. In modern mathema
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in topology
original url:
https://en.wikipedia.org/wiki/Degree_of_a_continuous_mapping
date created:
date modified:
2024-03-09T19:27:38Z
main entity:
{"identifier":"Q306564","url":"https://www.wikidata.org/entity/Q306564"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/50/Sphere_wrapped_round_itself.png","width":378,"height":356}
fields total:
13
integrity:
15