Triple
T10991709
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann sphere |
E259767
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Riemann surface |
C18972
|
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: Riemann surface Context triple: [Riemann sphere, instanceOf, Riemann surface]
-
A.
result in complex analysis
A result in complex analysis is a proven statement or theorem about functions of a complex variable, often revealing deep relationships between analytic, geometric, and topological properties in the complex plane.
-
B.
analytic function
An analytic function is a complex-valued function that is locally given by a convergent power series, meaning it is differentiable at every point in its domain and in a neighborhood around each point.
-
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.
Green’s function in Euclidean space
A Green’s function in Euclidean space is a fundamental solution to a linear differential operator that represents the response at one point due to a unit source located at another point, enabling the construction of solutions to boundary value problems via superposition.
-
E.
algebraic variety
chosen
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.
- 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:24 p.m.