Home › Entities › mathematical_concept › totally ordered set

totally ordered set

set paired with a total order
Intangible mathematical_concept Q3054922
Press Enter · cited answer in seconds

totally ordered set

Summary

totally ordered set is a mathematical concept[1]. It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • totally ordered set's instance of is recorded as mathematical concept[3].
  • totally ordered set is a type of partially ordered set[4].
  • totally ordered set is a type of lattice[5].
  • totally ordered set comprises 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 maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • totally ordered set's underlying structure is recorded as set[10].

Body

Definition and Type

totally ordered set's instance of is recorded as mathematical concept[3]. Recorded subclass of include partially ordered set[4] and lattice[5].

Use and Application

totally ordered set comprises total order[6].

Why It Matters

totally ordered set has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[2] It is known by 17 alternative names across languages and contexts.[11]

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] ↑ . Retrieved . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [11] ↑ . 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)

Canonical URL: https://4ort.xyz/entity/totally-ordered-set · Last refreshed:

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. 3d ago · AddyLockPool · 2026-08-16 view diff on Wikidata ↗
    Has parts → —
    Described by source → Q1050579
    Subclass of → —
    Studied by → order theory
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q1050579]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.