Fréchet space

locally convex space that is complete with respect to a translation-invariant metric
Intangible mathematical_concept Q1471397
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Fréchet space

Summary

Fréchet space is a mathematical concept[1]. It draws 127 Wikipedia views per month (mathematical_concept category, ranking #153 of 1,007).[2]

Key Facts

  • Fréchet space's instance of is recorded as mathematical concept[3].
  • Maurice René Fréchet is named after Fréchet space[4].
  • Fréchet space's subclass of is recorded as stereotype space[5].
  • Fréchet space's subclass of is recorded as Fréchet manifold[6].
  • Fréchet space's subclass of is recorded as F-space[7].
  • Fréchet space's subclass of is recorded as LF-space[8].
  • Fréchet space's subclass of is recorded as webbed space[9].
  • Fréchet space's subclass of is recorded as Baire space[10].
  • Fréchet space's Freebase ID is recorded as /m/01hzvp[11].
  • Fréchet space's different from is recorded as sequential space[12].
  • Fréchet space's different from is recorded as T1 space[13].
  • Fréchet space's defining formula is recorded as \begin{aligned}&|-|1,|-|_2,\dotsc\colon X\to\mathbb R{\ge0}\&|\lambda x|_k=|\lambda||x|_k\&|x+y|_k\le|x|_k+|y|_k\&x=0\iff\forall k>0\colon|x|_k=0\&U\in\operatorname{Open}(X)\iff\forall u\in U\exists K>0,r>0\colon{x\in X\colon\forall k\ge K\colon|u-x|_k[14].
  • Fréchet space's BabelNet ID is recorded as 01649117n[15].
  • Fréchet space's MathWorld ID is recorded as FrechetSpace[16].
  • Fréchet space's JSTOR topic ID is recorded as frechet-topologies[17].
  • Fréchet space's nLab ID is recorded as Fréchet space[18].
  • Fréchet space's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • Fréchet space's Microsoft Academic ID is recorded as 117145882[20].
  • Fréchet space's Online PWN Encyclopedia ID is recorded as 3902656[21].
  • Fréchet space's Encyclopedia of Mathematics article ID is recorded as Fréchet_space[22].
  • Fréchet space's PlanetMath ID is recorded as FrechetSpace[23].
  • Fréchet space's Treccani's Enciclopedia della Matematica ID is recorded as spazio-di-frechet[24].
  • Fréchet space's OpenAlex ID is recorded as C117145882[25].

Why It Matters

Fréchet space draws 127 Wikipedia views per month (mathematical_concept category, ranking #153 of 1,007).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[26] It is known by 17 alternative names across languages and contexts.[27]

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] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Freebase Data Dumps. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . BabelNet. wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] . Wikidata sitelinks. wikidata.org.
  3. [27] . 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). Fréchet space. Retrieved May 3, 2026, from https://4ort.xyz/entity/fr-chet-space
MLA “Fréchet space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/fr-chet-space.
BibTeX @misc{4ortxyz_fr-chet-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Fréchet space}}, year = {2026}, url = {https://4ort.xyz/entity/fr-chet-space}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Fréchet space — https://4ort.xyz/entity/fr-chet-space (retrieved 2026-05-03)

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