essential manifold

compact manifold M whose fundamental class [M] defines a nonzero element under the natural homomorphism Hₙ(M) → Hₙ(K(π₁(M),1))
Thing general Q5399573
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essential manifold

Summary

Key Facts

  • essential manifold is credited with the discovery of Mikhail Gromov[1].
  • essential manifold's subclass of is recorded as closed manifold[2].
  • essential manifold's Freebase ID is recorded as /m/04gllhm[3].
  • essential manifold's defining formula is recorded as \begin{aligned}&\phi\colon\operatorname H_n(M)\to\operatorname H_n(K(\pi_1(M),1)) \ &\phi([M]) \ne 0 \end{aligned}[4].
  • essential manifold's maintained by WikiProject is recorded as WikiProject Mathematics[5].
  • essential manifold's Microsoft Academic ID is recorded as 2779558417[6].

Body

Works and Contributions

essential manifold is credited with the discovery of Mikhail Gromov[1].

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APA 4ort.xyz Knowledge Graph. (2026). essential manifold. Retrieved May 7, 2026, from https://4ort.xyz/entity/essential-manifold
MLA “essential manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/essential-manifold.
BibTeX @misc{4ortxyz_essential-manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{essential manifold}}, year = {2026}, url = {https://4ort.xyz/entity/essential-manifold}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): essential manifold — https://4ort.xyz/entity/essential-manifold (retrieved 2026-05-07)

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