Triple
T21046994
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | affine group of R^n |
E518474
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | transformation group |
C20469
|
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: transformation group Context triple: [affine group of R^n, instanceOf, transformation group]
-
A.
mathematical transformation
A mathematical transformation is a function or operation that systematically maps elements from one set or space to another, often altering their position, scale, orientation, or form while following defined rules.
-
B.
pseudogroup
chosen
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.
-
C.
representation of a group
A representation of a group is a homomorphism from that group into the group of linear transformations of a vector space, allowing the group’s abstract elements to be studied via concrete matrices or operators.
-
D.
topological group
A topological group is a group equipped with a topology such that the group operation and inversion are continuous maps with respect to that topology.
-
E.
group-theoretic construction
A group-theoretic construction is a method or process that builds new groups or analyzes existing ones using operations and principles from group theory, such as forming subgroups, quotient groups, products, or extensions.
- 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
Created at: April 16, 2026, 2:34 p.m.