Poincaré duality (Q2063099)
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duality that relates homology and cohomology groups for oriented closed manifolds
- Poincare duality
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poincaré duality |
duality that relates homology and cohomology groups for oriented closed manifolds |
|
Statements
1893
0 references
![{\displaystyle {\begin{aligned}\alpha &\mapsto [M]\frown \alpha \\\operatorname {H} ^{k}(M)&{\overset {\cong }{\to }}\operatorname {H} _{\dim(M)-k}(M)\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6b94c9f65b79098690c720a39fceec179a3d2345)
0 references
![{\displaystyle [M]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e5ca74e595b2281c0aef1897ecafa282d1f182e2)
Identifiers
1 reference
Sitelinks
Wikipedia(13 entries)
- dewiki Poincaré-Dualität
- enwiki Poincaré duality
- eswiki Dualidad de Poincaré
- frwiki Dualité de Poincaré
- jawiki ポアンカレ双対
- kowiki 푸앵카레 쌍대성
- nlwiki Poincaré-dualiteit
- ptwiki Dualidade de Poincaré
- ruwiki Двойственность Пуанкаре
- svwiki Poincarés dualitet
- thwiki ภาวะคู่กันปวงกาเร
- ukwiki Двоїстість Пуанкаре
- zhwiki 龐加萊對偶性