Triple

T21047390
Position Surface form Disambiguated ID Type / Status
Subject Lindelöf space E518483 entity
Predicate closedSubspaceOf P142624 FINISHED
Object Lindelöf space is Lindelöf 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: Lindelöf space is Lindelöf | Statement: [Lindelöf space, closedSubspaceOf, Lindelöf space is Lindelöf]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: closedSubspaceOf
Context triple: [Lindelöf space, closedSubspaceOf, Lindelöf space is Lindelöf]
  • A. closedSubsetsOfSpecR
    Indicates that the related objects are precisely the closed subsets of the prime spectrum of the ring \(R\) (Spec \(R\)) in its Zariski topology.
  • B. closedSubsetsOfAffineSpace
    Indicates that the related entities are subsets of an affine space that are closed in the corresponding topology.
  • C. isClosedSubgroupOf
    Indicates that one group is a subgroup of another and is closed in the topological sense within that larger group.
  • D. isClosedAndNowhereDense
    Indicates that a set is both closed (contains all its limit points) and nowhere dense (its closure has empty interior, so it is "small" in the topological sense).
  • E. isSubquotientOf
    Indicates that one object can be obtained from another by first taking a subobject and then forming a quotient of that subobject.
  • 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_69e0b50438e08190917e2538bb8bc034 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e6fcf4d26481908b639996500a8319 completed April 21, 2026, 4:28 a.m.
PD Predicate disambiguation batch_69e5dbf6728881908a2a43a5c8804a2a completed April 20, 2026, 7:55 a.m.
PDg Predicate description generation batch_69e5e2df1a888190b5b478e76bdf7fdf completed April 20, 2026, 8:25 a.m.
Created at: April 16, 2026, 2:34 p.m.