Thom isomorphism

degree-shifted isomorphism between the cohomology of a space and the reduced cohomology of the Thom space of a vector bundle over the space
Intangible mathematical_concept Q3527000
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Thom isomorphism

Summary

Thom isomorphism is a mathematical concept[1]. It draws 7 Wikipedia views per month (mathematical_concept category, ranking #254 of 1,007).[2]

Key Facts

  • Thom isomorphism's instance of is recorded as mathematical concept[3].
  • René Thom is named after Thom isomorphism[4].
  • Thom isomorphism's subclass of is recorded as isomorphism[5].
  • Thom isomorphism's defining formula is recorded as (c\smile)\colon\operatorname H^\bullet(X)\to\operatorname{\tilde H}^{\bullet+\operatorname{rk}V}(\operatorname{Th}(V))[6].
  • Thom isomorphism's Google Knowledge Graph ID is recorded as /g/1215cjtn[7].
  • Thom isomorphism's nLab ID is recorded as Thom isomorphism[8].
  • Thom isomorphism's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Thom isomorphism's in defining formula is recorded as (c\smile)[10].
  • Thom isomorphism's in defining formula is recorded as \operatorname H^\bullet[11].
  • Thom isomorphism's in defining formula is recorded as \operatorname{\tilde H}[12].
  • Thom isomorphism's in defining formula is recorded as V[13].
  • Thom isomorphism's in defining formula is recorded as \operatorname{Th}[14].
  • Thom isomorphism's in defining formula is recorded as \smile[15].
  • Thom isomorphism's in defining formula is recorded as c[16].
  • Thom isomorphism's Encyclopedia of Mathematics article ID is recorded as Thom_isomorphism[17].

Why It Matters

Thom isomorphism draws 7 Wikipedia views per month (mathematical_concept category, ranking #254 of 1,007).[2]

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] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.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). Thom isomorphism. Retrieved May 3, 2026, from https://4ort.xyz/entity/thom-isomorphism
MLA “Thom isomorphism.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/thom-isomorphism.
BibTeX @misc{4ortxyz_thom-isomorphism_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Thom isomorphism}}, year = {2026}, url = {https://4ort.xyz/entity/thom-isomorphism}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Thom isomorphism — https://4ort.xyz/entity/thom-isomorphism (retrieved 2026-05-03)

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