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uniform space

set given a measure of "closedness" of two points
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uniform space

Summary

uniform space has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • uniform space is a type of mathematical structure[2].
  • uniform space comprises set[3].
  • uniform space comprises subset[4].
  • uniform space's topic's main category is recorded as Category:Uniform spaces[5].
  • uniform space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/uniform-spaces[6].
  • uniform space's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/uniform-spaces[7].
  • uniform space's different from is recorded as completely regular space[8].
  • uniform space's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • uniform space's underlying structure is recorded as proximity space[10].
  • uniform space's underlying structure is recorded as completely regular space[11].

Body

Definition and Type

uniform space is a type of mathematical structure[2].

Use and Application

Components include set[3], a primitive notion[12] and subset[4], a binary relation[13].

Why It Matters

uniform space has Wikipedia articles in 13 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.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [12] ↑ . Wikidata. wikidata.org. → on this site
  2. [13] ↑ . Wikidata. wikidata.org. → on this site

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). uniform space. Retrieved April 10, 2026, from https://4ort.xyz/entity/uniform-space
MLA “uniform space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/uniform-space.
BibTeX @misc{4ortxyz_uniform-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{uniform space}}, year = {2026}, url = {https://4ort.xyz/entity/uniform-space}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): uniform space — https://4ort.xyz/entity/uniform-space (retrieved 2026-04-10)

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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. 2d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    Different from → completely regular space
    Underlying structure(s) → proximity space, completely regular space
    Topic's main category → Category:Uniform spaces
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: UniformSpace, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.