Triple
T7684983
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Alexandrov–Hausdorff theorem |
E174093
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in descriptive set 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 descriptive set theory Context triple: [Alexandrov–Hausdorff theorem, instanceOf, theorem in descriptive set theory]
-
A.
axiomatic set theory
Axiomatic set theory is a branch of mathematical logic that studies sets and their relationships by formulating precise axioms to avoid paradoxes and provide a rigorous foundation for mathematics.
-
B.
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.
-
C.
measure-theoretic construction
A measure-theoretic construction is a rigorous method of building mathematical objects—such as measures, integrals, or probability spaces—by specifying σ-algebras, set functions, and limiting processes that satisfy the axioms of measure theory.
-
D.
cantor
A cantor is a liturgical singer or leader who guides and intones musical portions of religious services, often directing congregational singing and chanting.
-
E.
topological game
A topological game is a two-player game played on a topological space where players alternately choose points, sets, or open neighborhoods according to specified rules, with winning conditions defined by topological properties such as convergence, closure, or covering.
- 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_69c6995840408190a19de6c51090f46f |
completed | March 27, 2026, 2:51 p.m. |
Created at: March 27, 2026, 4:02 p.m.