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totally ordered set

set paired with a total order
Intangible mathematical_concept Q3054922
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totally ordered set

Summary

totally ordered set is a mathematical concept[1]. It draws 1 Wikipedia views per month (mathematical_concept category, ranking #256 of 1,007).[2]

Key Facts

  • totally ordered set's instance of is recorded as mathematical concept[3].
  • totally ordered set's subclass of is recorded as partially ordered set[4].
  • totally ordered set's subclass of is recorded as lattice[5].
  • totally ordered set's has part is recorded as total order[6].
  • totally ordered set's different from is recorded as total order[7].
  • totally ordered set's studied by is recorded as order theory[8].
  • totally ordered set's Google Knowledge Graph ID is recorded as /g/122s94sy[9].
  • totally ordered set's MathWorld ID is recorded as TotallyOrderedSet[10].
  • totally ordered set's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • totally ordered set's ProofWiki ID is recorded as Definition:Totally_Ordered_Set[12].
  • totally ordered set's Encyclopedia of Mathematics article ID is recorded as Totally_ordered_set[13].
  • totally ordered set's ScienceDirect topic ID is recorded as mathematics/totally-ordered-set[14].
  • totally ordered set's ScienceDirect topic ID is recorded as mathematics/linearly-ordered-set[15].
  • totally ordered set's underlying structure is recorded as set[16].
  • totally ordered set's Metamath statement ID is recorded as df-toset[17].
  • totally ordered set's FOLDOC ID is recorded as totally+ordered+set[18].

Why It Matters

totally ordered set draws 1 Wikipedia views per month (mathematical_concept category, ranking #256 of 1,007).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[19] It is known by 17 alternative names across languages and contexts.[20]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . mathworld.wolfram.com. mathworld.wolfram.com. Provenance: 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] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . Retrieved . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] ↑ . Wikidata sitelinks. wikidata.org.
  3. [20] ↑ . 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). totally ordered set. Retrieved May 3, 2026, from https://4ort.xyz/entity/totally-ordered-set
MLA “totally ordered set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/totally-ordered-set.
BibTeX @misc{4ortxyz_totally-ordered-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{totally ordered set}}, year = {2026}, url = {https://4ort.xyz/entity/totally-ordered-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): totally ordered set — https://4ort.xyz/entity/totally-ordered-set (retrieved 2026-05-03)

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