Triple
T32308261
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy net |
E825424
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | concept in uniform spaces |
C61570
|
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: concept in uniform spaces Context triple: [Cauchy net, instanceOf, concept in uniform spaces]
-
A.
nuclear space
A nuclear space is a topological vector space in which every continuous linear map into an arbitrary Banach space is nuclear (i.e., can be approximated by finite-rank operators with rapidly decaying singular values), giving it strong compactness and approximation properties.
-
B.
complete metric space
A complete metric space is a metric space in which every Cauchy sequence converges to a limit that lies within the space.
-
C.
pseudometric
A pseudometric is a function that assigns a nonnegative real number as a "distance" between any two points in a set, satisfying all the axioms of a metric except that distinct points are allowed to have zero distance.
-
D.
homeomorphism
A homeomorphism is a continuous bijective function between topological spaces whose inverse is also continuous, establishing a topological equivalence between them.
-
E.
locally convex space
A locally convex space is a topological vector space whose topology is generated by a family of seminorms, so that every point has a neighborhood base consisting of convex sets.
- 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_69f3491213b88190a57094d8697a7455 |
completed | April 30, 2026, 12:20 p.m. |
Created at: May 1, 2026, 12:45 a.m.