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upward directed set

preordered set whose every finite subset has an upper bound
Thing general Q1513048
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upward directed set

Summary

upward directed set ranks in the top 2% of general entities by monthly Wikipedia readership (86 views/month).[1]

Key Facts

  • upward directed set's subclass of is recorded as preordered set[2].
  • upward directed set's subclass of is recorded as filtered category[3].
  • upward directed set's subclass of is recorded as non-empty set[4].
  • upward directed set's opposite of is recorded as downward directed set[5].
  • upward directed set's Freebase ID is recorded as /m/02j4r[6].
  • upward directed set's BabelNet ID is recorded as 03809827n[7].
  • upward directed set's Microsoft Academic ID is recorded as 6847595[8].
  • upward directed set's Great Russian Encyclopedia portal ID is recorded as napravlennoe-mnozhestvo-a25100[9].
  • upward directed set's Metamath statement ID is recorded as df-drs[10].

Why It Matters

upward directed set ranks in the top 2% of general entities by monthly Wikipedia readership (86 views/month).[1] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[11] It is known by 11 alternative names across languages and contexts.[12]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . Freebase Data Dumps. wikidata.org.
  6. [7] ↑ . BabelNet. wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . Wikidata sitelinks. wikidata.org.
  3. [12] ↑ . 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). upward directed set. Retrieved April 10, 2026, from https://4ort.xyz/entity/upward-directed-set
MLA “upward directed set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/upward-directed-set.
BibTeX @misc{4ortxyz_upward-directed-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{upward directed set}}, year = {2026}, url = {https://4ort.xyz/entity/upward-directed-set}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): upward directed set — https://4ort.xyz/entity/upward-directed-set (retrieved 2026-04-10)

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