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faithful functor

functor which is injective when restricted to every hom-set
Thing general Q12175350
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faithful functor

Summary

faithful functor has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • faithful functor is a type of functor[2].
  • faithful functor is the opposite of full functor[3].
  • faithful functor's has characteristic is recorded as injection[4].

Body

Definition and Type

faithful functor is a type of functor[2]. It is the opposite of full functor[3].

Why It Matters

faithful functor has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[1]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. 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). faithful functor. Retrieved April 10, 2026, from https://4ort.xyz/entity/faithful-functor
MLA “faithful functor.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/faithful-functor.
BibTeX @misc{4ortxyz_faithful-functor_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{faithful functor}}, year = {2026}, url = {https://4ort.xyz/entity/faithful-functor}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): faithful functor — https://4ort.xyz/entity/faithful-functor (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/faithful-functor · 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. 4w ago · ZI Jony · 2026-07-03 view diff on Wikidata ↗
    Aliases → —
    Subclass of → —
    P14631 → faithful
    Opposite of → full functor
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P14631]]: faithful"
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