Triple
T10829303
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | K-theory |
E255574
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | generalized cohomology theory |
C22356
|
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: generalized cohomology theory Context triple: [K-theory, instanceOf, generalized cohomology theory]
-
A.
cohomology theory
chosen
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.
topological quantum field theory
A topological quantum field theory is a quantum field theory whose observables and correlation functions depend only on the topology of the underlying spacetime manifold, not on its geometric details such as distances or angles.
-
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.
gauge theory
A gauge theory is a type of field theory in which the laws of physics are invariant under continuous local transformations of certain internal symmetries, leading to the introduction of gauge fields that mediate fundamental interactions.
- 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_69d6aa8081448190a9324184f2bd1c26 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:19 p.m.