Teichmüller–Tukey lemma

lemma that states that every nonempty collection of finite character has a maximal element with respect to inclusion
Intangible theorem Q277987
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Teichmüller–Tukey lemma

Summary

Teichmüller–Tukey lemma is a theorem[1]. It draws 11 Wikipedia views per month (theorem category, ranking #268 of 1,306).[2]

Key Facts

  • Teichmüller–Tukey lemma's instance of is recorded as theorem[3].
  • Teichmüller–Tukey lemma's instance of is recorded as equivalent of the axiom of choice[4].
  • Oswald Teichmüller is named after Teichmüller–Tukey lemma[5].
  • John Tukey is named after Teichmüller–Tukey lemma[6].
  • Teichmüller–Tukey lemma's said to be the same as is recorded as axiom of choice[7].
  • Teichmüller–Tukey lemma's Freebase ID is recorded as /m/05p8s2c[8].
  • Teichmüller–Tukey lemma's studied by is recorded as order theory[9].
  • Teichmüller–Tukey lemma's studied by is recorded as set theory[10].
  • Teichmüller–Tukey lemma's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Teichmüller–Tukey lemma's Microsoft Academic ID is recorded as 41350624[12].
  • Teichmüller–Tukey lemma's ProofWiki ID is recorded as Tukey's_Lemma[13].
  • Teichmüller–Tukey lemma's Treccani's Enciclopedia della Matematica ID is recorded as lemma-di-tukey[14].

Why It Matters

Teichmüller–Tukey lemma draws 11 Wikipedia views per month (theorem category, ranking #268 of 1,306).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[15]

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] . Freebase Data Dumps. 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . 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). Teichmüller–Tukey lemma. Retrieved May 3, 2026, from https://4ort.xyz/entity/teichm-ller-tukey-lemma
MLA “Teichmüller–Tukey lemma.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/teichm-ller-tukey-lemma.
BibTeX @misc{4ortxyz_teichm-ller-tukey-lemma_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Teichmüller–Tukey lemma}}, year = {2026}, url = {https://4ort.xyz/entity/teichm-ller-tukey-lemma}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Teichmüller–Tukey lemma — https://4ort.xyz/entity/teichm-ller-tukey-lemma (retrieved 2026-05-03)

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