Max Dehn
E52324
Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Max Dehn canonical | 18 |
How this entity was disambiguated
This entity first appeared as the object of triple T397961 — 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: Max Dehn Context triple: [Felix Klein, doctoralStudent, Max Dehn]
-
A.
Paul Gordan
Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
-
B.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
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C.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
D.
Gustav Riebmann
Gustav Riebmann is a fictional character from the American prime-time soap opera "Falcon Crest," known for being a powerful and manipulative antagonist.
-
E.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
- 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: Max Dehn Target entity description: Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
-
A.
Paul Gordan
Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
-
B.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
-
C.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
D.
Gustav Riebmann
Gustav Riebmann is a fictional character from the American prime-time soap opera "Falcon Crest," known for being a powerful and manipulative antagonist.
-
E.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
German mathematician
ⓘ
human ⓘ mathematician ⓘ |
| countryOfCitizenship | German Empire ⓘ |
| familyName | Dehn ⓘ |
| fieldOfWork |
combinatorial group theory
ⓘ
geometric group theory ⓘ geometric topology ⓘ geometry ⓘ group theory ⓘ mathematics ⓘ topology ⓘ |
| givenName | Max ⓘ |
| hasEponym |
Dehn complex
ⓘ
Dehn function ⓘ Dehn invariant ⓘ Dehn lemma ⓘ Dehn surgery ⓘ Dehn twist ⓘ |
| influenced |
3-manifold topology
ⓘ
combinatorial group theory ⓘ geometric group theory ⓘ low-dimensional topology ⓘ |
| knownFor |
foundational work in group theory
ⓘ
foundational work in topology ⓘ introduction of Dehn surgery ⓘ study of decision problems in group theory ⓘ |
| name | Max Dehn ⓘ |
| notableConcept |
Dehn algorithm
ⓘ
Dehn complex ⓘ Dehn filling ⓘ
linked to:
Dehn surgery
Dehn function ⓘ Dehn invariant ⓘ Dehn lemma ⓘ Dehn presentation ⓘ Dehn surgery ⓘ Dehn twist ⓘ Dehn’s decision problems ⓘ
linked to:
Dehn’s decision problems in group theory
|
| notableWork |
Dehn filling
ⓘ
linked to:
Dehn surgery
Dehn lemma ⓘ Dehn surgery ⓘ Dehn twist ⓘ Dehn’s decision problems in group theory ⓘ conjugacy problem in group theory ⓘ isomorphism problem in group theory ⓘ word problem in group theory ⓘ work on the Heawood conjecture for the torus ⓘ work on the foundations of topology ⓘ |
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: Max Dehn Description of subject: Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
Referenced by (18)
Full triples — surface form annotated when it differs from this entity's canonical label.