Triple
T10991714
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann sphere |
E259767
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | extended complex plane |
C28453
|
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: extended complex plane Context triple: [Riemann sphere, instanceOf, extended complex plane]
-
A.
maximal analytic extension
A maximal analytic extension is the largest possible extension of a given spacetime (or manifold with metric) in which the metric and its geodesics can be continued analytically without introducing further removable boundaries or singularities.
-
B.
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.
-
C.
extreme point
An extreme point of a convex set is a point in the set that cannot be expressed as a nontrivial convex combination of other distinct points from the set.
-
D.
subfield of ℂ
A subfield of ℂ is a subset of the complex numbers that contains 0 and 1 and is closed under addition, subtraction, multiplication, and division by nonzero elements, thereby forming a field under the usual operations inherited from ℂ.
-
E.
Penrose diagram
A Penrose diagram is a spacetime diagram used in general relativity that compactifies infinite regions to finite size, allowing the global causal structure of a spacetime to be visualized.
- 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:24 p.m.