essential manifold (Q5399573)
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compact manifold M whose fundamental class [M] defines a nonzero element under the natural homomorphism Hₙ(M) → Hₙ(K(π₁(M),1))
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | essential manifold |
compact manifold M whose fundamental class [M] defines a nonzero element under the natural homomorphism Hₙ(M) → Hₙ(K(π₁(M),1)) |
Statements
![{\displaystyle {\begin{aligned}&\phi \colon \operatorname {H} _{n}(M)\to \operatorname {H} _{n}(K(\pi _{1}(M),1))\\&\phi ([M])\neq 0\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4910433335e3142069b45a836756dbff3a2f41a1)
Identifiers
Sitelinks
Wikipedia(3 entries)
- enwiki Essential manifold
- ruwiki Существенное многообразие
- ukwiki Істотний многовид