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base

collection of open sets that is sufficient for defining a topology
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base

Summary

base ranks in the top 2% of general entities by monthly Wikipedia readership (136 views/month).[1]

Key Facts

  • base's subclass of is recorded as set system[2].
  • base's Freebase ID is recorded as /m/0g48h[3].
  • base's facet of is recorded as topology[4].
  • base's different from is recorded as basis[5].
  • base's defining formula is recorded as \chi(X)\triangleq\sup{\chi(x,X)x\in X}[6].
  • base's MathWorld ID is recorded as TopologicalBasis[7].
  • base's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • base's Microsoft Academic ID is recorded as 42058472[9].
  • base's ProofWiki ID is recorded as Definition:Basis_(Topology)[10].
  • base's Treccani's Enciclopedia della Matematica ID is recorded as base-di-una-topologia[11].
  • base's OpenAlex ID is recorded as C42058472[12].
  • base's Metamath statement ID is recorded as df-bases[13].

Why It Matters

base ranks in the top 2% of general entities by monthly Wikipedia readership (136 views/month).[1] base has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[14] base is known by 37 alternative names across languages and contexts.[15]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . Freebase Data Dumps. wikidata.org.
  3. [4] ↑ . 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] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  12. [13] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . 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). base. Retrieved April 10, 2026, from https://4ort.xyz/entity/base-q810214
MLA “base.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/base-q810214.
BibTeX @misc{4ortxyz_base-q810214_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{base}}, year = {2026}, url = {https://4ort.xyz/entity/base-q810214}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): base — https://4ort.xyz/entity/base-q810214 (retrieved 2026-04-10)

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