Home › Entities › theorem › Bolzano–Weierstrass theorem

Bolzano–Weierstrass theorem

theorem about convergence in a finite-dimensional Euclidean space
Intangible theorem Q468391
Press Enter · cited answer in seconds

Summary

Bolzano–Weierstrass theorem is a theorem[1]. It ranks in the top 5% of theorem entities by monthly Wikipedia readership (3,903 views/month).[2]

Key Facts

  • Field of work: mathematical analysis[3]
  • Named after: Bernard Bolzano[4], Karl Weierstraß[5]
  • Part of: list of theorems[6]
  • Commons category: Bolzano–Weierstrass theorem[7]
  • Studied by: calculus[8]
  • Maintained by WikiProject: WikiProject Mathematics[9]

Why It Matters

Bolzano–Weierstrass theorem has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[10] It is known by 55 alternative names across languages and contexts.[11]

Related Entities

Bernard Bolzano Karl Weierstraß mathematical analysis

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. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . 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). Bolzano–Weierstrass theorem. Retrieved October 11, 2026, from https://4ort.xyz/entity/bolzano-weierstrass-theorem
MLA “Bolzano–Weierstrass theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Oct. 2026, https://4ort.xyz/entity/bolzano-weierstrass-theorem.
BibTeX @misc{4ortxyz_bolzano-weierstrass-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bolzano–Weierstrass theorem}}, year = {2026}, url = {https://4ort.xyz/entity/bolzano-weierstrass-theorem}, note = {Accessed: 2026-10-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bolzano–Weierstrass theorem — https://4ort.xyz/entity/bolzano-weierstrass-theorem (retrieved 2026-10-11)

Canonical URL: https://4ort.xyz/entity/bolzano-weierstrass-theorem · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 3d ago · AddyLockPool · 2026-10-09 view diff on Wikidata ↗
    Part of → —
    Part of → list of theorems
    Named after → —
    Field of work → —
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ Encyclopedia of mathematics article id: Bolzano-weierstrass_theorem, Add source/identifier (via Wikidata Source Saver, user-initiated)"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.