trivial topology

topology where the only open sets are the empty set and the entire space
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trivial topology

Summary

trivial topology ranks in the top 2% of general entities by monthly Wikipedia readership (42 views/month).[1]

Key Facts

  • trivial topology's subclass of is recorded as topology[2].
  • trivial topology's opposite of is recorded as discrete topology[3].
  • trivial topology's Freebase ID is recorded as /m/021sc0[4].
  • trivial topology's different from is recorded as discrete topology[5].
  • trivial topology's different from is recorded as codiscrete space[6].
  • trivial topology's defining formula is recorded as \operatorname{Open}(X) = {X, \varnothing}[7].
  • trivial topology's MathWorld ID is recorded as TrivialTopology[8].
  • trivial topology's nLab ID is recorded as trivial topology[9].
  • trivial topology's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • trivial topology's Microsoft Academic ID is recorded as 156017964[11].
  • trivial topology's ProofWiki ID is recorded as Definition:Indiscrete_Topology[12].
  • trivial topology's PlanetMath ID is recorded as IndiscreteTopology[13].
  • trivial topology's Treccani's Enciclopedia della Matematica ID is recorded as topologia-banale[14].
  • trivial topology's ScienceDirect topic ID is recorded as mathematics/indiscrete-topology[15].
  • trivial topology's Great Russian Encyclopedia portal ID is recorded as antidiskretnaia-topologiia-764ef5[16].

Why It Matters

trivial topology ranks in the top 2% of general entities by monthly Wikipedia readership (42 views/month).[1] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[17] It is known by 11 alternative names across languages and contexts.[18]

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] . Freebase Data Dumps. wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). trivial topology. Retrieved April 10, 2026, from https://4ort.xyz/entity/trivial-topology
MLA “trivial topology.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/trivial-topology.
BibTeX @misc{4ortxyz_trivial-topology_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{trivial topology}}, year = {2026}, url = {https://4ort.xyz/entity/trivial-topology}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): trivial topology — https://4ort.xyz/entity/trivial-topology (retrieved 2026-04-10)

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