Mayer–Vietoris sequence

long exact sequence describing how the (co)homology of a space relates to that of two subspaces whose interiors cover the total space
Intangible mathematical_concept Q2421905
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Mayer–Vietoris sequence

Summary

Mayer–Vietoris sequence is a mathematical concept[1]. It draws 159 Wikipedia views per month (mathematical_concept category, ranking #153 of 1,007).[2]

Key Facts

  • Mayer–Vietoris sequence's image is recorded as Mayer Vietoris sequence boundary map on torus.png[3].
  • Mayer–Vietoris sequence's instance of is recorded as mathematical concept[4].
  • Walther Mayer is named after Mayer–Vietoris sequence[5].
  • Leopold Vietoris is named after Mayer–Vietoris sequence[6].
  • Mayer–Vietoris sequence's subclass of is recorded as exact sequence[7].
  • Mayer–Vietoris sequence's subclass of is recorded as Čech-to-derived functor spectral sequence[8].
  • Mayer–Vietoris sequence's Freebase ID is recorded as /m/0219w3[9].
  • Mayer–Vietoris sequence's defining formula is recorded as \dotsb\to\mathrm H_{n+1}(X)\xrightarrow{\partial_}H_n(A\cap B)\xrightarrow{\binom{i_}{j_}}\mathrm H_n(A)\oplus\mathrm H_n(B)\xrightarrow{k_-l_}\mathrm H_n(X)\xrightarrow{\partial_}\mathrm H_{n-1}(A\cap B)\to\dotsb[10].
  • Mayer–Vietoris sequence's studied by is recorded as algebraic topology[11].
  • Mayer–Vietoris sequence's nLab ID is recorded as Mayer-Vietoris sequence[12].
  • Mayer–Vietoris sequence's Microsoft Academic ID is recorded as 201595698[13].
  • Mayer–Vietoris sequence's in defining formula is recorded as \mathrm H[14].
  • Mayer–Vietoris sequence's in defining formula is recorded as \cap[15].
  • Mayer–Vietoris sequence's in defining formula is recorded as \oplus[16].
  • Mayer–Vietoris sequence's PlanetMath ID is recorded as MayerVietorisSequence[17].
  • Mayer–Vietoris sequence's OpenAlex ID is recorded as C201595698[18].
  • Mayer–Vietoris sequence's Great Russian Encyclopedia portal ID is recorded as posledovatel-nost-maiera-v-etorisa-c38b35[19].

Why It Matters

Mayer–Vietoris sequence draws 159 Wikipedia views per month (mathematical_concept category, ranking #153 of 1,007).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[20] It is known by 6 alternative names across languages and contexts.[21]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . Wikidata aliases. wikidata.org.

📑 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). Mayer–Vietoris sequence. Retrieved May 3, 2026, from https://4ort.xyz/entity/mayer-vietoris-sequence
MLA “Mayer–Vietoris sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/mayer-vietoris-sequence.
BibTeX @misc{4ortxyz_mayer-vietoris-sequence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Mayer–Vietoris sequence}}, year = {2026}, url = {https://4ort.xyz/entity/mayer-vietoris-sequence}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Mayer–Vietoris sequence — https://4ort.xyz/entity/mayer-vietoris-sequence (retrieved 2026-05-03)

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