Triple

T23372448
Position Surface form Disambiguated ID Type / Status
Subject GL(n,ℝ) E593509 entity
Predicate isZariskiOpenIn P152470 FINISHED
Object M_n(ℝ) 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: M_n(ℝ) | Statement: [GL(n,ℝ), isZariskiOpenIn, M_n(ℝ)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isZariskiOpenIn
Context triple: [GL(n,ℝ), isZariskiOpenIn, M_n(ℝ)]
  • A. isZariskiClosed
    Indicates that a given subset is closed with respect to the Zariski topology, meaning it is defined as the common zero set of a collection of polynomials.
  • B. closedSubsetsOfAffineSpace
    Indicates that the related entities are subsets of an affine space that are closed in the corresponding topology.
  • C. isQuasiCompact
    Indicates that a space or object has the property that every open cover admits a finite subcover, or an analogous finiteness/compactness condition in its context.
  • D. isIntegrallyClosed
    Indicates that a ring (or similar algebraic structure) contains all elements of its field of fractions that are integral over it, i.e., it has no proper integral extension within its field of fractions.
  • E. irreducibleClosedSetsCorrespondTo
    Indicates that there is a correspondence between irreducible closed sets and another class of objects (typically points or prime ideals) in a given topological or algebraic structure.
  • F. None of above. chosen

Provenance (4 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_69e25d2593c88190bcdf4a716a94ccb2 completed April 17, 2026, 4:17 p.m.
NER Named-entity recognition batch_69f1a3af45ec8190a32aa4e5f04f6756 completed April 29, 2026, 6:22 a.m.
PD Predicate disambiguation batch_69f061c7aaa48190a58ce93f87155ffc completed April 28, 2026, 7:29 a.m.
PDg Predicate description generation batch_69f0bd4a0e408190ad8916faf23562d9 completed April 28, 2026, 1:59 p.m.
Created at: April 17, 2026, 5:32 p.m.