Triple
T27133847
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pontryagin duality |
E681628
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in topological group theory |
C716
|
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: theorem in topological group theory Context triple: [Pontryagin duality, instanceOf, theorem in topological group theory]
-
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.
topological algebra
A topological algebra is an algebra over a field that is also a topological vector space, where the algebraic operations (addition, scalar multiplication, and multiplication) are continuous with respect to the topology.
-
C.
lemma in topology
A lemma in topology is a proven auxiliary statement about topological structures (such as open sets, continuity, or compactness) used as a stepping stone to establish more significant theorems.
-
D.
result in group theory
A result in group theory is a proven statement or theorem about the algebraic structure and properties of groups and their related constructs.
-
E.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
- 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_69eefacbcc2081909ebf00daa23f1981 |
completed | April 27, 2026, 5:57 a.m. |
Created at: April 27, 2026, 9:06 a.m.