Sketches of an Elephant: A Topos Theory Compendium
E683767
Sketches of an Elephant: A Topos Theory Compendium is a comprehensive, multi-volume reference work on topos theory that systematically develops and surveys the subject at an advanced research level.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Sketches of an Elephant: A Topos Theory Compendium canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7721656 — 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: Sketches of an Elephant: A Topos Theory Compendium Context triple: [Peter Johnstone, notableWork, Sketches of an Elephant: A Topos Theory Compendium]
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A.
Grothendieck toposes
Grothendieck toposes are highly structured categories that generalize topological spaces and serve as a unifying framework for geometry, logic, and cohomology in modern mathematics.
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B.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
-
C.
“Abelian Categories: An Introduction to the Theory of Functors”
“Abelian Categories: An Introduction to the Theory of Functors” is a foundational monograph in category theory that systematically develops the theory of abelian categories and functors, significantly shaping modern homological algebra.
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D.
Grothendieck topology
A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
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E.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
- 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: Sketches of an Elephant: A Topos Theory Compendium Target entity description: Sketches of an Elephant: A Topos Theory Compendium is a comprehensive, multi-volume reference work on topos theory that systematically develops and surveys the subject at an advanced research level.
-
A.
Grothendieck toposes
Grothendieck toposes are highly structured categories that generalize topological spaces and serve as a unifying framework for geometry, logic, and cohomology in modern mathematics.
-
B.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
-
C.
“Abelian Categories: An Introduction to the Theory of Functors”
“Abelian Categories: An Introduction to the Theory of Functors” is a foundational monograph in category theory that systematically develops the theory of abelian categories and functors, significantly shaping modern homological algebra.
-
D.
Grothendieck topology
A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
-
E.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
reference work ⓘ research monograph ⓘ |
| aim | to provide a comprehensive compendium of topos theory ⓘ |
| approach |
encyclopedic
ⓘ
systematic ⓘ |
| author |
Peter T. Johnstone
ⓘ
linked to:
Peter Johnstone
|
| countryOfPublication | United Kingdom ⓘ |
| field |
category theory
ⓘ
mathematical logic ⓘ topos theory ⓘ |
| intendedAudience |
advanced graduate students
ⓘ
research mathematicians ⓘ |
| language | English ⓘ |
| level | advanced ⓘ |
| notableFor |
breadth of coverage of topos theory
ⓘ
detailed proofs ⓘ serving as a standard reference in topos theory ⓘ |
| publisher | Oxford University Press ⓘ |
| series | Oxford Logic Guides ⓘ |
| subject |
Boolean topos
ⓘ
Grothendieck topos ⓘ
linked to:
Grothendieck toposes
categorical logic ⓘ classifying topos ⓘ coherent logic ⓘ constructive mathematics in toposes ⓘ elementary topos ⓘ exactness properties ⓘ exponential object ⓘ factorization systems in toposes ⓘ geometric logic ⓘ geometric morphism ⓘ higher-order logic in toposes ⓘ internal language of a topos ⓘ limits and colimits in toposes ⓘ localic topos ⓘ logical aspects of toposes ⓘ sheaf representations ⓘ sheaf theory ⓘ sites and sheaves ⓘ sites of definition ⓘ subobject classifier ⓘ topos-theoretic completeness theorems ⓘ topos-theoretic invariants ⓘ topos-theoretic semantics of logic ⓘ topos-theoretic set theory ⓘ |
| volumeCount | 2 ⓘ |
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: Sketches of an Elephant: A Topos Theory Compendium Description of subject: Sketches of an Elephant: A Topos Theory Compendium is a comprehensive, multi-volume reference work on topos theory that systematically develops and surveys the subject at an advanced research level.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.