Triple
T25319683
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Eilenberg–MacLane space |
E634842
|
entity |
| Predicate | hasHomotopyGroup |
P159427
|
FINISHED |
| Object | π_k(K(G,n)) = 0 for k ≠ n |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: π_k(K(G,n)) = 0 for k ≠ n | Statement: [Eilenberg–MacLane space, hasHomotopyGroup, π_k(K(G,n)) = 0 for k ≠ n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasHomotopyGroup Context triple: [Eilenberg–MacLane space, hasHomotopyGroup, π_k(K(G,n)) = 0 for k ≠ n]
-
A.
hasHomotopyGroup
chosen
Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
-
B.
homotopyType
Indicates that two topological spaces or maps share the same homotopy type, meaning they can be continuously deformed into one another up to homotopy.
-
C.
hasCohomologyIsomorphicTo
Indicates that the cohomology groups (with their algebraic structure) of one object are isomorphic to those of another object.
-
D.
hasAutomorphismGroupContaining
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
-
E.
hasHodgeNumbers
Indicates that an entity (typically a geometric or algebraic object) is associated with specific Hodge numbers describing its Hodge decomposition or Hodge structure.
- F. None of above.
Provenance (3 batches)
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_69e75a9847c08190bb02990d06d5ffb7 |
completed | April 21, 2026, 11:08 a.m. |
| NER | Named-entity recognition | batch_69f5f6baf2d48190a6a4cd6501be87d2 |
completed | May 2, 2026, 1:06 p.m. |
| PD | Predicate disambiguation | batch_69f5afd5baac8190bb8ed576813c8591 |
completed | May 2, 2026, 8:03 a.m. |
Created at: April 21, 2026, 1:28 p.m.