Triple

T16411741
Position Surface form Disambiguated ID Type / Status
Subject Józef Schreier E398582 entity
Predicate notableWork P4 FINISHED
Object Schreier space
Schreier space is a classical example of a Banach space in functional analysis, introduced by Józef Schreier, known for its unusual structural properties and role in the study of bases and subspaces.
E1212016 NE FINISHED

How this triple was built (4 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: Schreier space | Statement: [Józef Schreier, notableWork, Schreier space]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schreier space
Context triple: [Józef Schreier, notableWork, Schreier space]
  • A. Gowers–Maurey space
    The Gowers–Maurey space is a specially constructed Banach space that provided a counterexample to the unconditional basic sequence problem, showing that there exist Banach spaces with no unconditional basic sequences.
  • B. Baire space
    Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
  • C. Sierpiński set
    The Sierpiński set is a subset of the real numbers with the property that it intersects every uncountable closed subset of the reals in only countably many points, illustrating extreme pathological behavior in set theory and real analysis.
  • D. Montel space
    A Montel space is a type of locally convex topological vector space in which every closed and bounded set is compact, implying strong convergence and compactness properties useful in functional analysis and distribution theory.
  • E. Gowers dichotomy for Banach spaces
    Gowers dichotomy for Banach spaces is a fundamental result in functional analysis that classifies infinite-dimensional Banach spaces by showing that each contains either a subspace with an unconditional basis or a hereditarily indecomposable subspace.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Schreier space
Triple: [Józef Schreier, notableWork, Schreier space]
Generated description
Schreier space is a classical example of a Banach space in functional analysis, introduced by Józef Schreier, known for its unusual structural properties and role in the study of bases and subspaces.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schreier space
Target entity description: Schreier space is a classical example of a Banach space in functional analysis, introduced by Józef Schreier, known for its unusual structural properties and role in the study of bases and subspaces.
  • A. Gowers–Maurey space
    The Gowers–Maurey space is a specially constructed Banach space that provided a counterexample to the unconditional basic sequence problem, showing that there exist Banach spaces with no unconditional basic sequences.
  • B. Baire space
    Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
  • C. Sierpiński set
    The Sierpiński set is a subset of the real numbers with the property that it intersects every uncountable closed subset of the reals in only countably many points, illustrating extreme pathological behavior in set theory and real analysis.
  • D. Montel space
    A Montel space is a type of locally convex topological vector space in which every closed and bounded set is compact, implying strong convergence and compactness properties useful in functional analysis and distribution theory.
  • E. Gowers dichotomy for Banach spaces
    Gowers dichotomy for Banach spaces is a fundamental result in functional analysis that classifies infinite-dimensional Banach spaces by showing that each contains either a subspace with an unconditional basis or a hereditarily indecomposable subspace.
  • F. None of above. chosen

Provenance (5 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_69d87f2950248190bc8ad9b9bebdc8c8 completed April 10, 2026, 4:40 a.m.
NER Named-entity recognition batch_69e32874a0cc8190874aea10b1d13004 completed April 18, 2026, 6:45 a.m.
NED1 Entity disambiguation (via context triple) batch_6a003c66d41481909340f247f6e5393f completed May 10, 2026, 8:05 a.m.
NEDg Description generation batch_6a003f2971bc819099f9b6800885bb5f completed May 10, 2026, 8:17 a.m.
NED2 Entity disambiguation (via description) batch_6a003ff96b3081909bcef37c77c0c5b1 completed May 10, 2026, 8:21 a.m.
Created at: April 10, 2026, 5:09 a.m.