Triple
T10773362
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grothendieck category |
E254135
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | abelian category |
C15783
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: abelian category Context triple: [Grothendieck category, instanceOf, abelian category]
-
A.
tool in category theory
chosen
A tool in category theory is a conceptual or formal construct—such as functors, natural transformations, limits, or adjunctions—used to analyze, relate, and systematically reason about mathematical structures and their morphisms within the categorical framework.
-
B.
homological invariant
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
-
C.
commutative algebra concept
A commutative algebra concept is an abstract mathematical notion involving commutative rings, their ideals, modules, and related structures, used to study algebraic properties that often underlie geometry and number theory.
-
D.
Weyl algebra
The Weyl algebra is the associative algebra generated by variables and their corresponding differential operators subject to canonical commutation relations, typically modeling the algebraic structure of quantum mechanical observables.
-
E.
cohomology theory
A cohomology theory is a functorial assignment of graded algebraic invariants to topological spaces (or other mathematical objects) that encodes global structural and obstruction information via axioms such as exactness and homotopy invariance.
- F. None of above.
Provenance (1 batch)
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. |
Created at: April 8, 2026, 9:16 p.m.