Triple

T20690595
Position Surface form Disambiguated ID Type / Status
Subject Atiyah–Segal axioms E508539 entity
Predicate codomainOfFunctor P7031 FINISHED
Object category of vector spaces 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: category of vector spaces | Statement: [Atiyah–Segal axioms, codomainOfFunctor, category of vector spaces]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: codomainOfFunctor
Context triple: [Atiyah–Segal axioms, codomainOfFunctor, category of vector spaces]
  • A. codomain chosen
    Indicates the set of all possible output values that a function or mapping can produce, regardless of which values are actually attained.
  • B. functorialityProperty
    Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
  • C. cardinalityOfFibers
    Indicates the number of distinct fibers (preimage sets) associated with a given mapping or relation.
  • D. fundamentalDomain
    Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
  • E. rankFunctionDomain
    Indicates that the subject is the domain (set of all possible inputs) over which a given rank function is defined.
  • 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_69e0b4c1ed408190b72dd26b1e33f8a1 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6c10d83548190a52b9ef84c8f9205 completed April 21, 2026, 12:13 a.m.
PD Predicate disambiguation batch_69e5c03caee881908be4dd25796a03d5 completed April 20, 2026, 5:57 a.m.
Created at: April 16, 2026, 12:08 p.m.