completely regular space

topological space in which a point and a closed set are separable by a real-valued continuous function
Intangible mathematical_concept Q1191433
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completely regular space

Summary

completely regular space is a mathematical concept[1]. It draws 65 Wikipedia views per month (mathematical_concept category, ranking #205 of 1,007).[2]

Key Facts

  • completely regular space's instance of is recorded as mathematical concept[3].
  • Andrey Tikhonov is named after completely regular space[4].
  • completely regular space's subclass of is recorded as regular space[5].
  • completely regular space's said to be the same as is recorded as uniformizable space[6].
  • completely regular space's Freebase ID is recorded as /m/07j22[7].
  • completely regular space's different from is recorded as uniform space[8].
  • completely regular space's defining formula is recorded as \forall U\in\mathcal T\forall x\in U\exists f\in\mathcal C^0(X,\mathbb R)\colon \left(f(x)=1 \land f \restriction X\setminus U = 0\right)[9].
  • completely regular space's MathWorld ID is recorded as CompletelyRegularSpace[10].
  • completely regular space's MathWorld ID is recorded as TychonoffSpace[11].
  • completely regular space's JSTOR topic ID is recorded as tychonoff-spaces[12].
  • completely regular space's schematic is recorded as VollständigRegulärerRaum.png[13].
  • completely regular space's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • completely regular space's Microsoft Academic ID is recorded as 87142424[15].
  • completely regular space's in defining formula is recorded as \mathcal T[16].
  • completely regular space's in defining formula is recorded as X[17].
  • completely regular space's OpenAlex ID is recorded as C87142424[18].
  • completely regular space's Great Russian Encyclopedia portal ID is recorded as tikhonovskoe-prostranstvo-e3bd10[19].

Why It Matters

completely regular space draws 65 Wikipedia views per month (mathematical_concept category, ranking #205 of 1,007).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[20] It is known by 26 alternative names across languages and contexts.[21]

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.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). completely regular space. Retrieved May 3, 2026, from https://4ort.xyz/entity/completely-regular-space
MLA “completely regular space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/completely-regular-space.
BibTeX @misc{4ortxyz_completely-regular-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{completely regular space}}, year = {2026}, url = {https://4ort.xyz/entity/completely-regular-space}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): completely regular space — https://4ort.xyz/entity/completely-regular-space (retrieved 2026-05-03)

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