Triple
T36870492
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | 4-sphere S^4 |
E911210
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | closed manifold |
C63225
|
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: closed manifold Context triple: [4-sphere S^4, instanceOf, closed manifold]
-
A.
closed surface
A closed surface is a continuous two-dimensional manifold in three-dimensional space that is finite in extent and has no boundary, completely enclosing a volume.
-
B.
3-manifold
A 3-manifold is a topological space in which every point has a neighborhood homeomorphic to three-dimensional Euclidean space \(\mathbb{R}^3\).
-
C.
oriented manifold
An oriented manifold is a manifold equipped with a consistent choice of orientation on all its tangent spaces, allowing for a coherent notion of "clockwise" versus "counterclockwise" (or "positive" versus "negative") across the entire space.
-
D.
simply connected surface
A simply connected surface is a two-dimensional topological space in which every closed loop can be continuously contracted to a point without leaving the surface.
-
E.
homology sphere
chosen
A homology sphere is a topological space whose homology groups are the same as those of a standard sphere of some dimension, but which need not be homeomorphic to that sphere.
- 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_69f76e80f6f0819091cba8e19b269615 |
completed | May 3, 2026, 3:49 p.m. |
Created at: May 3, 2026, 4:13 p.m.