Triple
T10773142
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grothendieck topology |
E254130
|
entity |
| Predicate | generalizes |
P2372
|
FINISHED |
| Object | fppf topology |
E254130
|
NE FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: fppf topology | Statement: [Grothendieck topology, generalizes, fppf topology]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: fppf topology Context triple: [Grothendieck topology, generalizes, fppf topology]
-
A.
Grothendieck topology
chosen
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.
-
B.
FPF
FPF is the Portuguese Football Federation, the national governing body responsible for organizing and overseeing football in Portugal, including its national teams.
-
C.
Scott topology
Scott topology is a mathematical topology on partially ordered sets that captures notions of convergence and continuity central to domain theory and theoretical computer science.
-
D.
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.
-
E.
Freyd–Kelly factorization system
The Freyd–Kelly factorization system is a concept in category theory that generalizes the idea of factoring morphisms into two classes with specific lifting and composition properties, providing a unifying framework for many standard factorization results.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d6aa5f54f4819082d0bbcb6f8797e6 |
completed | April 8, 2026, 7:19 p.m. |
| NER | Named-entity recognition | batch_69d7329b27748190bd0e2569c7972fd1 |
completed | April 9, 2026, 5:01 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69de238559b48190abc759e744ab0f8e |
completed | April 14, 2026, 11:22 a.m. |
Created at: April 8, 2026, 9:16 p.m.