Triple
T13509404
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ky Fan’s lemma |
E321096
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | lemma in topology |
C33138
|
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: lemma in topology Context triple: [Ky Fan’s lemma, instanceOf, lemma in topology]
-
A.
topology
Topology is the mathematical study of properties of spaces that are preserved under continuous deformations such as stretching or bending, but not tearing or gluing.
-
B.
homeomorphism
A homeomorphism is a continuous bijective function between topological spaces whose inverse is also continuous, establishing a topological equivalence between them.
-
C.
topological construction
A topological construction is a method or process for building new topological spaces from given ones, typically by applying operations such as products, quotients, subspaces, or identifications.
-
D.
tool in algebraic topology
A tool in algebraic topology is a conceptual or computational method—such as homology, cohomology, or spectral sequences—used to translate topological problems into algebraic ones to analyze and classify topological spaces.
-
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. 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_69d807629d6c8190998f1b9bb12d2ed0 |
completed | April 9, 2026, 8:09 p.m. |
Created at: April 9, 2026, 9:43 p.m.