Home › Entities › mathematical_concept › Banach manifold

Banach manifold

manifold modeled on Banach spaces; topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space
Intangible mathematical_concept Q3554819
Press Enter · cited answer in seconds

Banach manifold

Summary

Banach manifold is a mathematical concept[1]. It draws 14 Wikipedia views per month (mathematical_concept category, ranking #247 of 1,007).[2]

Key Facts

  • Banach manifold's instance of is recorded as mathematical concept[3].
  • Banach manifold is a type of Fréchet manifold[4].
  • Banach manifold's Stack Exchange tag is recorded as https://mathoverflow.net/tags/banach-manifold[5].
  • Banach manifold's maintained by WikiProject is recorded as WikiProject Mathematics[6].

Body

Definition and Type

Banach manifold's instance of is recorded as mathematical concept[3]. It is a type of Fréchet manifold[4].

Why It Matters

Banach manifold draws 14 Wikipedia views per month (mathematical_concept category, ranking #247 of 1,007).[2]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.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). Banach manifold. Retrieved May 3, 2026, from https://4ort.xyz/entity/banach-manifold
MLA “Banach manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/banach-manifold.
BibTeX @misc{4ortxyz_banach-manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Banach manifold}}, year = {2026}, url = {https://4ort.xyz/entity/banach-manifold}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Banach manifold — https://4ort.xyz/entity/banach-manifold (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/banach-manifold · 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. 26d ago · InternetArchiveBot bot · 2026-05-06 view diff on Wikidata ↗
    Stack exchange tag → https://mathoverflow.net/tags/banach-manifold
    Instance of → mathematical concept
    Microsoft academic id (discontinued) → 165593952
    Defining formula → \varphi_{j} \circ \varphi_{i}^{-1} \varphi_{i} (U_{i} \cap
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-references:1||1|2 */ [[Property:P10283]]: C165593952, Rescuing 1 sources and submitting 0 for archiving. #IABot (v2.0.9.5)"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.