lens space

3-manifold that is a quotient of S³ by ℤ/p actions: (z,w) ↦ (exp(2πi/p)z, exp(2πiq/p)w)
Thing general Q2470499
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lens space

Summary

lens space ranks in the top 2% of general entities by monthly Wikipedia readership (98 views/month).[1]

Key Facts

  • lens space is credited with the discovery of Heinrich Franz Friedrich Tietze[2].
  • lens space's video is recorded as Lens Space L(2;5) Animation.gif[3].
  • lens space's image is recorded as Lens Space L(2;5) Side View.png[4].
  • lens space's subclass of is recorded as 3-manifold[5].
  • lens space's subclass of is recorded as essential manifold[6].
  • lens space's time of discovery or invention is recorded as +1908-00-00T00:00:00Z[7].
  • lens space's Freebase ID is recorded as /m/03lrc8[8].
  • lens space's MathWorld ID is recorded as LensSpace[9].
  • lens space's nLab ID is recorded as lens space[10].
  • lens space's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • lens space's Microsoft Academic ID is recorded as 99460904[12].
  • lens space's Encyclopedia of Mathematics article ID is recorded as Lens_space[13].
  • lens space's OpenAlex ID is recorded as C99460904[14].
  • lens space's ScienceDirect topic ID is recorded as mathematics/lens-space[15].

Body

Works and Contributions

lens space is credited with the discovery of Heinrich Franz Friedrich Tietze[2].

Why It Matters

lens space ranks in the top 2% of general entities by monthly Wikipedia readership (98 views/month).[1] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[16]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [2] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . Freebase Data Dumps. wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  14. [15] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. 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). lens space. Retrieved April 10, 2026, from https://4ort.xyz/entity/lens-space
MLA “lens space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/lens-space.
BibTeX @misc{4ortxyz_lens-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{lens space}}, year = {2026}, url = {https://4ort.xyz/entity/lens-space}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): lens space — https://4ort.xyz/entity/lens-space (retrieved 2026-04-10)

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