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natural transformation

transformation between two functors studied in category theory
Thing transformation Q1442189
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natural transformation

Summary

natural transformation is a transformation[1]. It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • natural transformation is credited with the discovery of Samuel Eilenberg[3].
  • natural transformation is credited with the discovery of Saunders Mac Lane[4].
  • natural transformation's instance of is recorded as transformation[5].
  • natural transformation is a type of indexed family[6].
  • natural transformation is a type of morphism[7].
  • natural transformation's properties for this type is recorded as P1568[8].
  • natural transformation's properties for this type is recorded as P1571[9].
  • natural transformation's studied by is recorded as category theory[10].
  • natural transformation's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

natural transformation's instance of is recorded as transformation[5]. Recorded subclass of include indexed family[6] and morphism[7].

Why It Matters

natural transformation has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[2] It is known by 7 alternative names across languages and contexts.[12]

Related Entities

Samuel Eilenberg

References

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

Direct Wikidata claims

  1. [5] ↑ . wikidata.org.
  2. [3] ↑ . History of Homological Algebra. wikidata.org.
  3. [4] ↑ . History of Homological Algebra. 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [12] ↑ . 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). natural transformation. Retrieved May 3, 2026, from https://4ort.xyz/entity/natural-transformation
MLA “natural transformation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/natural-transformation.
BibTeX @misc{4ortxyz_natural-transformation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{natural transformation}}, year = {2026}, url = {https://4ort.xyz/entity/natural-transformation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): natural transformation — https://4ort.xyz/entity/natural-transformation (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/natural-transformation · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 14d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Properties for this type → P1568, P1571
    Subclass of → —
    Instance of → transformation
    P14534 → CategoryTheory.NatTrans
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: CategoryTheory.NatTrans, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.