Alexandroff extension

given a space X, the space X ⊔ {∞}, topologized so that a set containing ∞ is open iff its complement is closed compact in X
Thing compactification Q864919
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Alexandroff extension

Summary

Alexandroff extension is a compactification[1]. It draws 64 Wikipedia views per month (compactification category, ranking #1 of 2).[2]

Key Facts

  • Alexandroff extension's instance of is recorded as compactification[3].
  • Pavel Aleksandrov is named after Alexandroff extension[4].
  • Alexandroff extension's Freebase ID is recorded as /m/03hfsrt[5].
  • Alexandroff extension's studied by is recorded as general topology[6].
  • Alexandroff extension's MathWorld ID is recorded as One-PointCompactification[7].
  • Alexandroff extension's nLab ID is recorded as one-point compactification[8].
  • Alexandroff extension's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Alexandroff extension's Microsoft Academic ID is recorded as 98575774[10].
  • Alexandroff extension's Encyclopedia of Mathematics article ID is recorded as Aleksandrov_compactification[11].
  • Alexandroff extension's Great Russian Encyclopedia portal ID is recorded as kompaktifikatsiia-aleksandrova-1aaa4a[12].

Why It Matters

Alexandroff extension draws 64 Wikipedia views per month (compactification category, ranking #1 of 2).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[13] It is known by 20 alternative names across languages and contexts.[14]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). Alexandroff extension. Retrieved May 3, 2026, from https://4ort.xyz/entity/alexandroff-extension
MLA “Alexandroff extension.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/alexandroff-extension.
BibTeX @misc{4ortxyz_alexandroff-extension_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Alexandroff extension}}, year = {2026}, url = {https://4ort.xyz/entity/alexandroff-extension}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Alexandroff extension — https://4ort.xyz/entity/alexandroff-extension (retrieved 2026-05-03)

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