Triple
T21046412
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Foliations of Three-Manifolds Which Are Circle Bundles |
E518461
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | work in geometric 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: work in geometric topology Context triple: [Foliations of Three-Manifolds Which Are Circle Bundles, instanceOf, work in geometric topology]
-
A.
research program in geometry
A research program in geometry is a coordinated, long-term investigation that develops and applies geometric concepts, methods, and conjectures to systematically explore and solve interconnected mathematical problems.
-
B.
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.
-
C.
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.
-
D.
work in algebraic geometry
Work in algebraic geometry studies geometric objects defined as solution sets to polynomial equations, using tools from commutative algebra and topology to understand their structure, classification, and morphisms between them.
-
E.
tool in algebraic topology
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. 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
Created at: April 16, 2026, 2:34 p.m.