Leray's theorem

theorem that, for a sheaf that is acyclic on every finite intersection of an open cover, the sheaf cohomology coincides with Čech cohomology
Intangible theorem Q6528747
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Leray's theorem

Summary

Leray's theorem is a theorem[1]. It draws 1 Wikipedia views per month (theorem category, ranking #276 of 1,306).[2]

Key Facts

  • Leray's theorem's instance of is recorded as theorem[3].
  • Jean Leray is named after Leray's theorem[4].
  • Leray's theorem's part of is recorded as list of theorems[5].
  • Leray's theorem's Freebase ID is recorded as /m/08ktl5[6].
  • Leray's theorem's defining formula is recorded as \operatorname{\check H}^q(\mathcal U,\mathcal F)=\operatorname H^q(X,\mathcal F)[7].
  • Leray's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Leray's theorem's in defining formula is recorded as \operatorname{\check H}^q(\mathcal U,\mathcal F)[9].
  • Leray's theorem's in defining formula is recorded as \operatorname H^q(X,\mathcal F)[10].
  • Leray's theorem's in defining formula is recorded as \mathcal U[11].
  • Leray's theorem's in defining formula is recorded as \mathcal F[12].

Why It Matters

Leray's theorem draws 1 Wikipedia views per month (theorem category, ranking #276 of 1,306).[2]

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Leray's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/leray-s-theorem
MLA “Leray's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/leray-s-theorem.
BibTeX @misc{4ortxyz_leray-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Leray's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/leray-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Leray's theorem — https://4ort.xyz/entity/leray-s-theorem (retrieved 2026-05-03)

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