Stone Spaces
E683768
Stone Spaces is a seminal mathematical monograph by Peter Johnstone that develops the theory of Stone spaces and their connections to Boolean algebras and topology.
All labels observed (2)
| Label | Occurrences |
|---|---|
| "Theorie der Steinschen Räume" | 1 |
| Stone Spaces canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7721657 — 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: Stone Spaces Context triple: [Peter Johnstone, notableWork, Stone Spaces]
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A.
Morphosis
Morphosis is an innovative American architecture firm known for its bold, fragmented forms and experimental, deconstructivist designs.
-
B.
Spaceways
Spaceways is a 1953 British science fiction film about early space travel and personal intrigue, directed by Terence Fisher and associated with editor-turned-director Harmon Jones.
-
C.
Glass Stepping Stones
Glass Stepping Stones is a deadly bridge-crossing challenge in the series "Squid Game," where players must choose between fragile and safe glass panels to survive.
-
D.
Unconscious Places
Unconscious Places is a photographic series by German artist Thomas Struth that depicts urban streets and public spaces in a detached, documentary style to reveal the often overlooked structures of contemporary city life.
-
E.
The Esses
The Esses is a challenging downhill sequence of tight, twisting corners at Mount Panorama Circuit that tests drivers' precision and car balance during the Bathurst 1000.
- 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: Stone Spaces Target entity description: Stone Spaces is a seminal mathematical monograph by Peter Johnstone that develops the theory of Stone spaces and their connections to Boolean algebras and topology.
-
A.
Morphosis
Morphosis is an innovative American architecture firm known for its bold, fragmented forms and experimental, deconstructivist designs.
-
B.
Spaceways
Spaceways is a 1953 British science fiction film about early space travel and personal intrigue, directed by Terence Fisher and associated with editor-turned-director Harmon Jones.
-
C.
Glass Stepping Stones
Glass Stepping Stones is a deadly bridge-crossing challenge in the series "Squid Game," where players must choose between fragile and safe glass panels to survive.
-
D.
Unconscious Places
Unconscious Places is a photographic series by German artist Thomas Struth that depicts urban streets and public spaces in a detached, documentary style to reveal the often overlooked structures of contemporary city life.
-
E.
The Esses
The Esses is a challenging downhill sequence of tight, twisting corners at Mount Panorama Circuit that tests drivers' precision and car balance during the Bathurst 1000.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ |
| author |
Peter Johnstone
ⓘ
Peter T. Johnstone ⓘ
linked to:
Peter Johnstone
|
| contains |
detailed proofs of representation theorems
ⓘ
historical notes on Stone duality ⓘ |
| countryOfPublication | United Kingdom ⓘ |
| field |
category theory
ⓘ
logic ⓘ mathematics ⓘ topology ⓘ universal algebra ⓘ |
| focusesOn |
Boolean-valued models
ⓘ
duality between Boolean algebras and Stone spaces ⓘ locales ⓘ spectral spaces ⓘ topological representation of algebraic structures ⓘ |
| hasFormat |
hardcover
ⓘ
paperback ⓘ |
| hasInfluenceOn |
categorical logic
ⓘ
point-free topology ⓘ topos theory ⓘ |
| hasISBN | 9780521337793 ⓘ |
| intendedAudience |
graduate students in mathematics
ⓘ
researchers in logic ⓘ researchers in topology ⓘ |
| isDescribedAs |
seminal work in topology and logic
ⓘ
standard reference on Stone duality ⓘ |
| language | English ⓘ |
| pageCount | 370 ⓘ |
| publicationYear | 1982 ⓘ |
| publisher | Cambridge University Press ⓘ |
| relatedTo |
Boolean algebra
ⓘ
Stone duality theorem ⓘ
linked to:
Stone duality
compact totally disconnected Hausdorff spaces ⓘ locale theory ⓘ spectral topology ⓘ |
| series | Cambridge Studies in Advanced Mathematics ⓘ |
| subject |
Boolean algebras
ⓘ
Stone duality ⓘ Stone spaces ⓘ topological spaces ⓘ |
| usesFramework |
category-theoretic methods
ⓘ
order-theoretic methods ⓘ |
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: Stone Spaces Description of subject: Stone Spaces is a seminal mathematical monograph by Peter Johnstone that develops the theory of Stone spaces and their connections to Boolean algebras and topology.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Stone Spaces