Triple
T32826365
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Herbrand quotient |
E839565
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | group cohomology concept |
C30619
|
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: group cohomology concept Context triple: [Herbrand quotient, instanceOf, group cohomology concept]
-
A.
group theory concept
chosen
A group theory concept is an abstract mathematical idea that studies sets equipped with a single associative operation satisfying identity and inverse properties, used to analyze symmetry and structure across diverse mathematical systems.
-
B.
concept in group theory
A class in group theory is a subset of group elements that are equivalent under conjugation, meaning each element can be written as g⁻¹ag for some fixed a and varying g in the group.
-
C.
concept in finite group theory
A class in finite group theory is a subset of group elements that are equivalent under conjugation, meaning each element can be transformed into any other in the subset by an inner automorphism of the group.
-
D.
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.
-
E.
group (mathematics)
A group is a set equipped with a single binary operation that is closed, associative, has an identity element, and in which every element has an inverse.
- 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_69f3493f22f88190ae6dd4bc15b6cf8d |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:16 a.m.