L’intégration dans les groupes topologiques et ses applications
E244840
L’intégration dans les groupes topologiques et ses applications is a foundational mathematical monograph by André Weil that develops the theory of integration on topological groups and explores its far-reaching applications in analysis and number theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| L’intégration dans les groupes topologiques et ses applications canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2228032 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: L’intégration dans les groupes topologiques et ses applications Context triple: [André Weil, notableWork, L’intégration dans les groupes topologiques et ses applications]
-
A.
Theorie der Transformationsgruppen
Theorie der Transformationsgruppen is Sophus Lie’s foundational multi-volume work that established the theory of continuous transformation groups, now known as Lie groups, and their applications to differential equations and geometry.
-
B.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
-
C.
Alexandrov–Čech cohomology
Alexandrov–Čech cohomology is a topological cohomology theory that computes invariants of spaces using inverse limits over open covers, closely related to and often coinciding with sheaf cohomology.
-
D.
Topologie (with Heinz Hopf)
"Topologie" is a foundational 1935 textbook on general topology co-authored by Pavel Alexandrov and Heinz Hopf that helped shape the modern development of the field.
-
E.
Moscow school of topology
The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: L’intégration dans les groupes topologiques et ses applications Target entity description: L’intégration dans les groupes topologiques et ses applications is a foundational mathematical monograph by André Weil that develops the theory of integration on topological groups and explores its far-reaching applications in analysis and number theory.
-
A.
Theorie der Transformationsgruppen
Theorie der Transformationsgruppen is Sophus Lie’s foundational multi-volume work that established the theory of continuous transformation groups, now known as Lie groups, and their applications to differential equations and geometry.
-
B.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
-
C.
Alexandrov–Čech cohomology
Alexandrov–Čech cohomology is a topological cohomology theory that computes invariants of spaces using inverse limits over open covers, closely related to and often coinciding with sheaf cohomology.
-
D.
Topologie (with Heinz Hopf)
"Topologie" is a foundational 1935 textbook on general topology co-authored by Pavel Alexandrov and Heinz Hopf that helped shape the modern development of the field.
-
E.
Moscow school of topology
The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
- F. None of above. chosen
Statements (34)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ |
| associatedWith | Bourbaki school of mathematics ⓘ |
| author | André Weil ⓘ |
| authorNationality | French ⓘ |
| contribution |
applications of topological group integration to number theory
ⓘ
development of integration theory on locally compact groups ⓘ foundational work for abstract harmonic analysis ⓘ systematic treatment of Haar measure ⓘ |
| field |
analysis
ⓘ
mathematics ⓘ number theory ⓘ topology ⓘ |
| hasInfluenceOn |
abstract harmonic analysis
ⓘ
adelic methods in number theory ⓘ automorphic forms ⓘ modern representation theory ⓘ |
| language | French ⓘ |
| mainSubject |
harmonic analysis
ⓘ
integration on topological groups ⓘ number theory ⓘ topological groups ⓘ |
| mathematicalStyle |
abstract
ⓘ
axiomatic ⓘ |
| status | foundational work in integration on topological groups ⓘ |
| topic |
Fourier analysis on groups
ⓘ
Haar measure ⓘ applications to number-theoretic problems ⓘ invariant measures ⓘ locally compact groups ⓘ representation theory of topological groups ⓘ |
| usedIn |
advanced research in analysis
ⓘ
advanced research in number theory ⓘ graduate-level study of harmonic analysis ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: L’intégration dans les groupes topologiques et ses applications Description of subject: L’intégration dans les groupes topologiques et ses applications is a foundational mathematical monograph by André Weil that develops the theory of integration on topological groups and explores its far-reaching applications in analysis and number theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.