Triple
T11214994
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dehn twist |
E265413
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | surface diffeomorphism |
C3506
|
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: surface diffeomorphism Context triple: [Dehn twist, instanceOf, surface diffeomorphism]
-
A.
topology
Topology is the mathematical study of properties of spaces that are preserved under continuous deformations such as stretching or bending, but not tearing or gluing.
-
B.
differential geometric object
chosen
A differential geometric object is a mathematical entity, such as a manifold, tensor, or connection, defined on smooth spaces and characterized by properties that are invariant under smooth coordinate transformations.
-
C.
embedded submanifold
An embedded submanifold is a subset of a manifold that is itself a manifold, whose inclusion map is a smooth embedding and whose topology and smooth structure agree with those induced from the ambient manifold.
-
D.
geodesic structure
A geodesic structure is a framework composed of short, straight elements arranged along geodesic lines on a surface to create a lightweight, stable, and often dome-like form.
-
E.
pseudogroup
A pseudogroup is a collection of local homeomorphisms (or diffeomorphisms) on a topological space that is closed under composition, inversion, restriction to open subsets, and gluing of compatible local maps, generalizing the notion of a group action to local symmetries.
- 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_69d6aac59460819089b9848b27f57848 |
completed | April 8, 2026, 7:21 p.m. |
Created at: April 8, 2026, 9:30 p.m.