Triple
T36876837
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grassmann manifolds |
E911363
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | homogeneous space |
C63396
|
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: homogeneous space Context triple: [Grassmann manifolds, instanceOf, homogeneous space]
-
A.
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.
-
B.
linear algebraic group
A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
-
C.
spatially homogeneous cosmology
A spatially homogeneous cosmology is a cosmological model in which the properties of the universe are the same at every point in space at a given cosmic time, though they may change with time.
-
D.
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.
-
E.
infinite-dimensional Lie group
An infinite-dimensional Lie group is a group that is also a smooth manifold modeled on an infinite-dimensional topological vector space, such that the group operations (multiplication and inversion) are smooth maps.
- 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_69f76e82339881909607a65c0503d941 |
completed | May 3, 2026, 3:49 p.m. |
Created at: May 3, 2026, 4:13 p.m.