Quelques propriétés globales des variétés différentiables
E627202
"Quelques propriétés globales des variétés différentiables" is a seminal mathematical work by René Thom that helped found differential topology by studying global properties of differentiable manifolds.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Quelques propriétés globales des variétés différentiables canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6901180 — 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: Quelques propriétés globales des variétés différentiables Context triple: [René Thom, hasWork, Quelques propriétés globales des variétés différentiables]
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A.
L’Analysis Situs et la Géométrie Algébrique
L’Analysis Situs et la Géométrie Algébrique is a foundational mathematical treatise that helped establish modern algebraic topology and its connections with algebraic geometry.
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B.
Cartan theorems A and B
Cartan theorems A and B are fundamental results in complex analytic geometry that characterize coherent analytic sheaves on Stein spaces by guaranteeing the existence of enough global sections and the vanishing of higher cohomology.
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C.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
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D.
Sur les courbes algébriques et les variétés qui s’en déduisent
Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
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E.
Singular Points of Complex Hypersurfaces
"Singular Points of Complex Hypersurfaces" is a foundational monograph in singularity theory that systematically studies the local and topological properties of singularities arising in complex algebraic and analytic hypersurfaces.
- 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: Quelques propriétés globales des variétés différentiables Target entity description: "Quelques propriétés globales des variétés différentiables" is a seminal mathematical work by René Thom that helped found differential topology by studying global properties of differentiable manifolds.
-
A.
L’Analysis Situs et la Géométrie Algébrique
L’Analysis Situs et la Géométrie Algébrique is a foundational mathematical treatise that helped establish modern algebraic topology and its connections with algebraic geometry.
-
B.
Cartan theorems A and B
Cartan theorems A and B are fundamental results in complex analytic geometry that characterize coherent analytic sheaves on Stein spaces by guaranteeing the existence of enough global sections and the vanishing of higher cohomology.
-
C.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
-
D.
Sur les courbes algébriques et les variétés qui s’en déduisent
Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
-
E.
Singular Points of Complex Hypersurfaces
"Singular Points of Complex Hypersurfaces" is a foundational monograph in singularity theory that systematically studies the local and topological properties of singularities arising in complex algebraic and analytic hypersurfaces.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical work
ⓘ
mathematician ⓘ research article ⓘ |
| author | René Thom ⓘ |
| authorInstanceOf | René Thom ⓘ |
| category | works by René Thom ⓘ |
| contributedTo | foundations of differential topology ⓘ |
| era | 20th-century mathematics ⓘ |
| field |
differential geometry
ⓘ
differential topology ⓘ differential topology ⓘ topology ⓘ topology ⓘ |
| hasAuthorNationality | French ⓘ |
| hasKeyConcept |
critical point theory
ⓘ
differentiable manifolds ⓘ global differential topology ⓘ global properties ⓘ smooth structures on manifolds ⓘ topological invariants ⓘ |
| impact |
helped found differential topology as a field
ⓘ
seminal work in differential topology ⓘ |
| influenced |
cobordism theory
ⓘ
development of differential topology ⓘ global analysis ⓘ singularity theory ⓘ |
| language | French ⓘ |
| nationality | French ⓘ |
| originalTitle | Quelques propriétés globales des variétés différentiables ⓘ |
| relatedTo |
Morse functions
ⓘ
cobordism ⓘ global topology of manifolds ⓘ smooth manifolds ⓘ |
| titleLanguage | fr ⓘ |
| topic |
Morse theory
ⓘ
linked to:
Morse Theory
cobordism theory ⓘ critical points of smooth functions ⓘ global invariants of manifolds ⓘ global properties of differentiable manifolds ⓘ topological classification of manifolds ⓘ |
| translatedTitle | Some global properties of differentiable manifolds ⓘ |
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: Quelques propriétés globales des variétés différentiables Description of subject: "Quelques propriétés globales des variétés différentiables" is a seminal mathematical work by René Thom that helped found differential topology by studying global properties of differentiable manifolds.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.