Triple
T7648159
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Alexandrov–Čech cohomology |
E173178
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | 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: cohomology theory Context triple: [Alexandrov–Čech cohomology, instanceOf, cohomology theory]
-
A.
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.
-
B.
commutative algebra concept
A commutative algebra concept is an abstract mathematical notion involving commutative rings, their ideals, modules, and related structures, used to study algebraic properties that often underlie geometry and number theory.
-
C.
algebraic variety
An algebraic variety is a geometric object defined as the set of common solutions to a system of polynomial equations over a field, studied up to algebraic and topological properties.
-
D.
field theory
Field theory is a branch of physics and mathematics that models physical quantities as continuous fields distributed over space and time, governed by specific equations and symmetries.
-
E.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
- 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_69c6995473348190a4f41d110d619a18 |
completed | March 27, 2026, 2:51 p.m. |
Created at: March 27, 2026, 3:58 p.m.