degree of a continuous mapping

generalization of winding number
Thing invariant Q306564
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degree of a continuous mapping

Summary

degree of a continuous mapping is an invariant[1]. It draws 71 Wikipedia views per month (invariant category, ranking #13 of 37).[2]

Key Facts

  • degree of a continuous mapping's instance of is recorded as invariant[3].
  • degree of a continuous mapping's Freebase ID is recorded as /m/08r0z9[4].
  • degree of a continuous mapping's different from is recorded as degree of an analytic mapping[5].
  • degree of a continuous mapping's MathWorld ID is recorded as BrouwerDegree[6].
  • degree of a continuous mapping's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • degree of a continuous mapping's Microsoft Academic ID is recorded as 63425195[8].
  • degree of a continuous mapping's Lex ID is recorded as afbildningsgrad[9].
  • degree of a continuous mapping's invariant under is recorded as homotopy[10].

Why It Matters

degree of a continuous mapping draws 71 Wikipedia views per month (invariant category, ranking #13 of 37).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[11] It is known by 10 alternative names across languages and contexts.[12]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Freebase Data Dumps. wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] . Wikidata sitelinks. wikidata.org.
  3. [12] . 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). degree of a continuous mapping. Retrieved May 3, 2026, from https://4ort.xyz/entity/degree-of-a-continuous-mapping
MLA “degree of a continuous mapping.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/degree-of-a-continuous-mapping.
BibTeX @misc{4ortxyz_degree-of-a-continuous-mapping_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{degree of a continuous mapping}}, year = {2026}, url = {https://4ort.xyz/entity/degree-of-a-continuous-mapping}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): degree of a continuous mapping — https://4ort.xyz/entity/degree-of-a-continuous-mapping (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. 4w ago · נדב ס · 2026-05-07 view diff on Wikidata ↗
    Different from degree of an analytic mapping
    Invariant under homotopy
    Instance of invariant
    Aliases
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P138]]: [[Q155887]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.