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Alexander duality

duality of the homology of the complement of a subspace
Intangible mathematical_concept Q4720484
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Alexander duality

Summary

Alexander duality is a mathematical concept[1]. It draws 44 Wikipedia views per month (mathematical_concept category, ranking #213 of 1,007).[2]

Key Facts

  • Alexander duality's instance of is recorded as mathematical concept[3].
  • James Waddell Alexander II is named after Alexander duality[4].
  • Alexander duality's Freebase ID is recorded as /m/08rzfj[5].
  • Alexander duality's defining formula is recorded as \tilde {H}_{q}(S^{n}\setminus X)\cong {\tilde {H}}^{n-q-1}(X)[6].
  • Alexander duality's studied by is recorded as algebraic topology[7].
  • Alexander duality's Microsoft Academic ID is recorded as 2779203193[8].

Why It Matters

Alexander duality draws 44 Wikipedia views per month (mathematical_concept category, ranking #213 of 1,007).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[9]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . 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). Alexander duality. Retrieved May 3, 2026, from https://4ort.xyz/entity/alexander-duality
MLA “Alexander duality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/alexander-duality.
BibTeX @misc{4ortxyz_alexander-duality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Alexander duality}}, year = {2026}, url = {https://4ort.xyz/entity/alexander-duality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Alexander duality — https://4ort.xyz/entity/alexander-duality (retrieved 2026-05-03)

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