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category of metric spaces

mathematical category with metric spaces as its objects and distance-non-increasing maps as its morphisms
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category of metric spaces

Summary

category of metric spaces is a concrete category[1]. It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • category of metric spaces's instance of is recorded as concrete category[3].
  • category of metric spaces's studied by is recorded as category theory[4].
  • category of metric spaces's has part is recorded as metric space[5].
  • category of metric spaces's has part is recorded as metric map[6].

Body

Definition and Type

category of metric spaces's instance of is recorded as concrete category[3].

Why It Matters

category of metric spaces has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[2] It is known by 3 alternative names across languages and contexts.[7]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [7] ↑ . 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). category of metric spaces. Retrieved May 3, 2026, from https://4ort.xyz/entity/category-of-metric-spaces
MLA “category of metric spaces.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/category-of-metric-spaces.
BibTeX @misc{4ortxyz_category-of-metric-spaces_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{category of metric spaces}}, year = {2026}, url = {https://4ort.xyz/entity/category-of-metric-spaces}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): category of metric spaces — https://4ort.xyz/entity/category-of-metric-spaces (retrieved 2026-05-03)

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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 · 慈居 · 2026-06-07 view diff on Wikidata ↗
    Aliases → —
    Instance of → —
    Instance of → concrete category
    Has part(s) of the class → metric space, metric map
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetclaim-update:2||1 */ [[Property:P31]]: [[Q140088628]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.