Lusternik–Schnirelmann category

integer-valued homotopy invariant of spaces; the size of the minimal open cover consisting of contractible sets
Thing topological_property Q2361277
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Lusternik–Schnirelmann category

Summary

Lusternik–Schnirelmann category is a topological property[1]. It draws 29 Wikipedia views per month (topological_property category, ranking #7 of 9).[2]

Key Facts

  • Lusternik–Schnirelmann category is credited with the discovery of Lev Schnirelmann[3].
  • Lusternik–Schnirelmann category is credited with the discovery of Lazar Lyusternik[4].
  • Lusternik–Schnirelmann category's instance of is recorded as topological property[5].
  • Lazar Lyusternik is named after Lusternik–Schnirelmann category[6].
  • Lev Schnirelmann is named after Lusternik–Schnirelmann category[7].
  • Lusternik–Schnirelmann category's Freebase ID is recorded as /m/039hv4[8].
  • Lusternik–Schnirelmann category's Microsoft Academic ID is recorded as 2779378629[9].

Body

Works and Contributions

Credited discoveries include Lev Schnirelmann[3], a mathematician[10], 1905–1938[11], of Soviet Union[12], specialised in number theory[13] and Lazar Lyusternik[4], a mathematician[14], 1899–1981[15], of Russian Empire[16], awarded the Stalin Prize, 2nd degree[17], specialised in differential geometry[18].

Why It Matters

Lusternik–Schnirelmann category draws 29 Wikipedia views per month (topological_property category, ranking #7 of 9).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[19] It is known by 5 alternative names across languages and contexts.[20]

References

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

Direct Wikidata claims

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

Inline context (facts about related entities)

  1. [10] . Wikidata. wikidata.org. → on this site
  2. [11] . Wikidata. wikidata.org. → on this site
  3. [12] . Wikidata. wikidata.org. → on this site
  4. [13] . Wikidata. wikidata.org. → on this site
  5. [14] . Wikidata. wikidata.org. → on this site
  6. [15] . Wikidata. wikidata.org. → on this site
  7. [16] . Wikidata. wikidata.org. → on this site
  8. [17] . Wikidata. wikidata.org. → on this site
  9. [18] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . 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). Lusternik–Schnirelmann category. Retrieved May 3, 2026, from https://4ort.xyz/entity/lusternik-schnirelmann-category
MLA “Lusternik–Schnirelmann category.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/lusternik-schnirelmann-category.
BibTeX @misc{4ortxyz_lusternik-schnirelmann-category_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Lusternik–Schnirelmann category}}, year = {2026}, url = {https://4ort.xyz/entity/lusternik-schnirelmann-category}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Lusternik–Schnirelmann category — https://4ort.xyz/entity/lusternik-schnirelmann-category (retrieved 2026-05-03)

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