initial object

category object with exactly one morphism leading from it to every object of the category
Thing general Q10535634
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initial object

Summary

Key Facts

  • initial object is a type of projective object[1].
  • initial object is a type of colimit[2].
  • initial object is part of initial and terminal objects[3].
  • initial object is the opposite of terminal object[4].
  • initial object's maintained by WikiProject is recorded as WikiProject Mathematics[5].

Body

Definition and Type

Recorded subclass of include projective object[1] and colimit[2]. initial object is the opposite of terminal object[4].

Use and Application

initial object is part of initial and terminal objects[3].

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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). initial object. Retrieved May 7, 2026, from https://4ort.xyz/entity/initial-object
MLA “initial object.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/initial-object.
BibTeX @misc{4ortxyz_initial-object_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{initial object}}, year = {2026}, url = {https://4ort.xyz/entity/initial-object}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): initial object — https://4ort.xyz/entity/initial-object (retrieved 2026-05-07)

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