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pullback

category-theoretic limit of a diagram of the form 𝑋→𝑍←𝑌
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pullback

Summary

pullback ranks in the top 2% of general entities by monthly Wikipedia readership (525 views/month).[1]

Key Facts

  • pullback is a type of limit[2].
  • pullback's Commons category is recorded as Pullbacks (category theory)[3].
  • pullback is the opposite of pushout[4].
  • pullback's studied by is recorded as category theory[5].
  • pullback's maintained by WikiProject is recorded as WikiProject Mathematics[6].

Body

Definition and Type

pullback is a type of limit[2]. pullback is the opposite of pushout[4].

Why It Matters

pullback ranks in the top 2% of general entities by monthly Wikipedia readership (525 views/month).[1] pullback has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[7] pullback is known by 10 alternative names across languages and contexts.[8]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [7] ↑ . Wikidata sitelinks. wikidata.org.
  3. [8] ↑ . 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). pullback. Retrieved April 10, 2026, from https://4ort.xyz/entity/pullback
MLA “pullback.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/pullback.
BibTeX @misc{4ortxyz_pullback_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{pullback}}, year = {2026}, url = {https://4ort.xyz/entity/pullback}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): pullback — https://4ort.xyz/entity/pullback (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/pullback · 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. 20d ago · 慈居 · 2026-06-20 view diff on Wikidata ↗
    Opposite of → pushout
    "/* wbremoveclaims-remove:1| */ [[Property:P461]]: [[Q1633079]]"
  2. 20d ago · Yirba · 2026-06-19 view diff on Wikidata ↗
    Subclass of → limit
    Maintained by wikiproject → WikiProject Mathematics
    Subclass of → —
    Studied by → category theory
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P14540]]: [[Q1633079]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.