Triple
T25044567
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Thom cobordism theory |
E627198
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | homotopy-theoretic classification theory |
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 classification theory Context triple: [Thom cobordism theory, instanceOf, homotopy-theoretic classification theory]
-
A.
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.
-
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.
mathematical classification
Mathematical classification is the process of assigning mathematical objects, structures, or problems to categories based on shared properties, relationships, or behaviors to organize and understand them systematically.
-
D.
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.
-
E.
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.
- 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_69e2ff2b4c80819087c916b2b16241b9 |
completed | April 18, 2026, 3:48 a.m. |
Created at: April 18, 2026, 6:08 a.m.