Triple
T25319673
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Eilenberg–MacLane space |
E634842
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | homotopy-theoretic construction |
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: homotopy-theoretic construction Context triple: [Eilenberg–MacLane space, instanceOf, homotopy-theoretic construction]
-
A.
topological construction
A topological construction is a method or process for building new topological spaces from given ones, typically by applying operations such as products, quotients, subspaces, or identifications.
-
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.
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.
-
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-theoretic construction
A group-theoretic construction is a method or process that builds new groups or analyzes existing ones using operations and principles from group theory, such as forming subgroups, quotient groups, products, or extensions.
- 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_69e75a9847c08190bb02990d06d5ffb7 |
completed | April 21, 2026, 11:08 a.m. |
Created at: April 21, 2026, 1:28 p.m.