Cantor's intersection theorem

theorem that a decreasing nested sequences of nonempty closed compact sets has nonempty intersection
Intangible theorem Q1050203
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Cantor's intersection theorem

Summary

Cantor's intersection theorem is a theorem[1]. It draws 144 Wikipedia views per month (theorem category, ranking #236 of 1,306).[2]

Key Facts

  • Cantor's intersection theorem's instance of is recorded as theorem[3].
  • Georg Cantor is named after Cantor's intersection theorem[4].
  • Cantor's intersection theorem is part of list of theorems[5].
  • Cantor's intersection theorem's maintained by WikiProject is recorded as WikiProject Mathematics[6].

Body

Definition and Type

Cantor's intersection theorem's instance of is recorded as theorem[3].

Origins

Georg Cantor is named after Cantor's intersection theorem[4].

Use and Application

Cantor's intersection theorem is part of list of theorems[5].

Why It Matters

Cantor's intersection theorem draws 144 Wikipedia views per month (theorem category, ranking #236 of 1,306).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[7] It is known by 4 alternative names across languages and contexts.[8]

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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). Cantor's intersection theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/cantor-s-intersection-theorem
MLA “Cantor's intersection theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cantor-s-intersection-theorem.
BibTeX @misc{4ortxyz_cantor-s-intersection-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cantor's intersection theorem}}, year = {2026}, url = {https://4ort.xyz/entity/cantor-s-intersection-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cantor's intersection theorem — https://4ort.xyz/entity/cantor-s-intersection-theorem (retrieved 2026-05-03)

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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. 5w ago · Ikan · 2026-07-12 view diff on Wikidata ↗
    Instance of theorem
    Named after Georg Cantor
    Instance of
    Part of
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbmergeitems-to:0||Q858052 */"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.