Lazar Lyusternik
E179044
Lazar Lyusternik was a Russian mathematician known for his contributions to topology, variational problems, and the development of the Lusternik–Schnirelmann category in critical point theory.
All labels observed (5)
| Label | Occurrences |
|---|---|
| Lazar Lyusternik canonical | 4 |
| Lev Shnirelman | 2 |
| Lazar Aronovich Lyusternik | 1 |
| Lev Schnirelmann | 1 |
| Lyusternik | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1509470 — 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: Lazar Lyusternik Context triple: [Pavel Alexandrov, notableStudent, Lazar Lyusternik]
-
A.
Lev Pontryagin
Lev Pontryagin was a prominent Soviet mathematician known for his foundational contributions to topology, control theory (including the maximum principle), and the theory of characteristic classes.
-
B.
Pavel Alexandrov
Pavel Alexandrov was a prominent Russian-Soviet mathematician known for his foundational contributions to topology and his role in developing the Moscow school of mathematics.
-
C.
Vladimir Kurdyumov
Vladimir Kurdyumov was a Soviet military commander best known for leading Red Army forces during the Winter War’s Battle of Kollaa against Finland.
-
D.
Nikolay Bogolyubov
Nikolay Bogolyubov was a prominent Soviet mathematician and theoretical physicist known for his foundational contributions to quantum field theory, statistical mechanics, and nonlinear dynamics.
-
E.
Igor Vladimirovich Girsanov
Igor Vladimirovich Girsanov was a Soviet mathematician best known for his fundamental contributions to probability theory and stochastic processes.
- 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: Lazar Lyusternik Target entity description: Lazar Lyusternik was a Russian mathematician known for his contributions to topology, variational problems, and the development of the Lusternik–Schnirelmann category in critical point theory.
-
A.
Lev Pontryagin
Lev Pontryagin was a prominent Soviet mathematician known for his foundational contributions to topology, control theory (including the maximum principle), and the theory of characteristic classes.
-
B.
Pavel Alexandrov
Pavel Alexandrov was a prominent Russian-Soviet mathematician known for his foundational contributions to topology and his role in developing the Moscow school of mathematics.
-
C.
Vladimir Kurdyumov
Vladimir Kurdyumov was a Soviet military commander best known for leading Red Army forces during the Winter War’s Battle of Kollaa against Finland.
-
D.
Nikolay Bogolyubov
Nikolay Bogolyubov was a prominent Soviet mathematician and theoretical physicist known for his foundational contributions to quantum field theory, statistical mechanics, and nonlinear dynamics.
-
E.
Igor Vladimirovich Girsanov
Igor Vladimirovich Girsanov was a Soviet mathematician best known for his fundamental contributions to probability theory and stochastic processes.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
Russian mathematician
ⓘ
human ⓘ mathematician ⓘ topologist ⓘ |
| areaOfInfluence |
algebraic topology
ⓘ
variational methods in analysis ⓘ |
| coAuthor |
Lazar Lyusternik
self-linksurface differs
ⓘ
surface form:
Lev Schnirelmann
|
| coDeveloped | Lusternik–Schnirelmann category ⓘ |
| contributedTo |
category theory in topology (Lusternik–Schnirelmann category)
ⓘ
critical point theory ⓘ |
| countryOfCitizenship |
Russia
ⓘ
Soviet Union ⓘ |
| educatedAt | Moscow State University ⓘ |
| employer | Moscow State University ⓘ |
| familyName |
Lazar Lyusternik
self-linksurface differs
ⓘ
surface form:
Lyusternik
|
| fieldOfWork |
critical point theory
ⓘ
functional analysis ⓘ mathematics ⓘ topology ⓘ variational calculus ⓘ |
| gender | male ⓘ |
| givenName | Lazar ⓘ |
| hasAcademicDiscipline |
geometric topology
ⓘ
pure mathematics ⓘ variational analysis ⓘ |
| hasNotableStudent | Soviet school of topology ⓘ |
| influenced | critical point theory in nonlinear analysis ⓘ |
| knownFor |
Lusternik–Schnirelmann category
ⓘ
Lusternik–Schnirelmann category ⓘ
surface form:
Lusternik–Schnirelmann theory
contributions to topology ⓘ work on variational problems ⓘ |
| languageOfWorkOrName | Russian ⓘ |
| memberOf | Soviet mathematical community ⓘ |
| name |
Lazar Lyusternik
self-linksurface differs
ⓘ
surface form:
Lazar Aronovich Lyusternik
|
| nativeLanguage | Russian ⓘ |
| notableConcept |
Lusternik–Schnirelmann category
ⓘ
Lusternik–Schnirelmann category ⓘ
surface form:
Lusternik–Schnirelmann theorem
|
| occupation |
researcher
ⓘ
university teacher ⓘ |
| workInfluenced |
global analysis on manifolds
ⓘ
modern nonlinear functional 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: Lazar Lyusternik Description of subject: Lazar Lyusternik was a Russian mathematician known for his contributions to topology, variational problems, and the development of the Lusternik–Schnirelmann category in critical point theory.
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Lev Shnirelman
this entity surface form:
Lev Shnirelman
this entity surface form:
Lazar Aronovich Lyusternik
this entity surface form:
Lyusternik
this entity surface form:
Lev Schnirelmann