Triple
T10807781
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | geometrization conjecture |
E255013
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | statement in 3-dimensional topology |
C21863
|
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: statement in 3-dimensional topology Context triple: [geometrization conjecture, instanceOf, statement in 3-dimensional topology]
-
A.
topology
chosen
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.
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.
-
C.
four-dimensional manifold
A four-dimensional manifold is a topological space that locally resembles four-dimensional Euclidean space, meaning each point has a neighborhood homeomorphic to an open subset of ℝ⁴.
-
D.
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.
-
E.
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.
- 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_69d6aa61c15c8190a1839550c56e75e1 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:18 p.m.