Triple
T38538473
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Whitehead group |
E924762
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | algebraic K-theory invariant |
C37055
|
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: algebraic K-theory invariant Context triple: [Whitehead group, instanceOf, algebraic K-theory invariant]
-
A.
homological invariant
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
-
B.
result in K-theory
chosen
A result in K-theory is a theorem or proposition describing how algebraic K-groups behave or relate to other invariants, often revealing deep structural or categorical properties of rings, schemes, or topological spaces.
-
C.
cohomological invariant
A cohomological invariant is a rule that assigns to each object in a given class (such as algebraic varieties, groups, or topological spaces) an element of a cohomology group in a way that is functorial and captures structural or classification information about those objects.
-
D.
invariant in geometric topology
An invariant in geometric topology is a property or quantity assigned to a topological or geometric object that remains unchanged under specified classes of deformations or equivalences, such as homeomorphisms or isotopies.
-
E.
object in invariant theory
An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
- 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_69f76eadeac081909cdfdd0474cb6765 |
completed | May 3, 2026, 3:50 p.m. |
Created at: May 3, 2026, 4:32 p.m.