Triple
T12797565
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Algebraic Topology |
E305928
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | reference work in algebraic topology |
C31903
|
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: reference work in algebraic topology Context triple: [Algebraic Topology, instanceOf, reference work in algebraic topology]
-
A.
tool in algebraic topology
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.
-
B.
differential topology textbook
A differential topology textbook is a comprehensive resource that develops the theory of smooth manifolds and smooth maps between them, emphasizing global properties and techniques such as transversality, Sard’s theorem, and handle decompositions.
-
C.
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.
-
D.
topology
Topology is the mathematical study of properties of spaces that are preserved under continuous deformations such as stretching or bending, but not tearing or gluing.
-
E.
theory in differential topology
A theory in differential topology is a coherent framework of concepts, theorems, and techniques that studies the properties of smooth manifolds and smooth maps between them that are invariant under smooth deformations.
- F. None of above. chosen
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_69d7bdf366888190a8cccb982606889c |
completed | April 9, 2026, 2:55 p.m. |
Created at: April 9, 2026, 5:30 p.m.