Triple
T36384937
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hamilton’s program for the Ricci flow |
E896164
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | approach to 3-manifold topology |
C44532
|
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: approach to 3-manifold topology Context triple: [Hamilton’s program for the Ricci flow, instanceOf, approach to 3-manifold topology]
-
A.
3-manifold
A 3-manifold is a topological space in which every point has a neighborhood homeomorphic to three-dimensional Euclidean space \(\mathbb{R}^3\).
-
B.
work in geometric topology
chosen
Work in geometric topology studies the properties and structures of spaces that are preserved under continuous deformations, focusing on the interplay between geometry and topology in shapes and manifolds.
-
C.
result in low-dimensional topology
A result in low-dimensional topology is a theorem or proposition that characterizes the structure, classification, or properties of topological spaces and manifolds of dimension four or less.
-
D.
3-manifold invariant
A 3-manifold invariant is a quantity or structure assigned to a 3-dimensional manifold that remains unchanged under homeomorphisms or diffeomorphisms, used to distinguish and classify such manifolds.
-
E.
conjecture in quantum topology
A conjecture in quantum topology is an unproven but plausibly true statement proposing a specific relationship between quantum invariants and topological or geometric structures of manifolds or knots.
- 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_69f76e51d358819092bbc5f119f49476 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.