Triple
T32316095
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy completeness |
E825636
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | property of metric spaces |
C3751
|
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: property of metric spaces Context triple: [Cauchy completeness, instanceOf, property of metric spaces]
-
A.
complete metric space
chosen
A complete metric space is a metric space in which every Cauchy sequence converges to a limit that lies within the space.
-
B.
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.
-
C.
topological property
A topological property is a feature of a space that is preserved under homeomorphisms, meaning it remains unchanged under continuous deformations such as stretching or bending but not tearing or gluing.
-
D.
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.
-
E.
theorem in metric number theory
A theorem in metric number theory is a rigorous statement describing the behavior of number-theoretic objects (such as Diophantine approximations or distribution of sequences) for "almost all" real numbers with respect to a given measure, typically Lebesgue measure.
- 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_69f3491213b88190a57094d8697a7455 |
completed | April 30, 2026, 12:20 p.m. |
Created at: May 1, 2026, 12:46 a.m.