Poincaré duality
id:
poincar-duality-302-3725321
title:
Poincaré duality
text:
In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds. It states that if M is an n-dimensional oriented closed manifold, then the kth cohomology group of M is isomorphic to theth homology group of M, for all integers k Poincaré duality holds for any coefficient ring, so long as one has taken an orientation with respect to that coefficient ring; in particular, since every manifold has a uniqu
brand slug:
wiki
category slug:
encyclopedia
description:
Connects homology and cohomology groups for oriented closed manifolds
original url:
https://en.wikipedia.org/wiki/Poincar%C3%A9_duality
date created:
date modified:
2023-12-03T11:19:25Z
main entity:
{"identifier":"Q2063099","url":"https://www.wikidata.org/entity/Q2063099"}
image:
fields total:
13
integrity:
14