Triple
T34545739
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Whitehead product |
E886920
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | bilinear operation on homotopy groups |
C28855
|
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: bilinear operation on homotopy groups Context triple: [Whitehead product, instanceOf, bilinear operation on homotopy groups]
-
A.
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.
-
B.
tool in algebraic topology
chosen
A tool in algebraic topology is a conceptual or computational method—such as homology, cohomology, or spectral sequences—used to translate topological problems into algebraic ones to analyze and classify topological spaces.
-
C.
Lie bracket
A Lie bracket is a bilinear, antisymmetric operation on a vector space that satisfies the Jacobi identity, defining the algebraic structure of a Lie algebra.
-
D.
topological group
A topological group is a group equipped with a topology such that the group operation and inversion are continuous maps with respect to that topology.
-
E.
binary operation on matrices
A binary operation on matrices is a rule that combines two matrices of compatible dimensions to produce a single matrix, such as matrix addition or multiplication.
- 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_69f349cff89081908f91e0b064f4833e |
completed | April 30, 2026, 12:23 p.m. |
Created at: May 1, 2026, 2:02 a.m.