Triple

T16326900
Position Surface form Disambiguated ID Type / Status
Subject Władysław Orlicz E396443 entity
Predicate notableConcept P201 FINISHED
Object Orlicz sequence space E412928 NE 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: Orlicz sequence space | Statement: [Władysław Orlicz, notableConcept, Orlicz sequence space]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Orlicz sequence space
Context triple: [Władysław Orlicz, notableConcept, Orlicz sequence space]
  • A. Orlicz spaces chosen
    Orlicz spaces are a class of function spaces that generalize Lebesgue spaces by measuring integrability via convex Orlicz functions rather than fixed power exponents.
  • B. New classes of Lp-spaces
    "New classes of Lp-spaces" is a mathematical work by Jean Bourgain that introduces and studies novel Banach space structures within the framework of Lp spaces, significantly advancing the theory of functional analysis.
  • C. 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.
  • D. 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.
  • E. Banach–Saks theorem
    The Banach–Saks theorem is a result in functional analysis stating that every bounded sequence in a reflexive Banach space has a subsequence whose Cesàro means converge in norm.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69d87f255b788190a400eba031dd85d8 completed April 10, 2026, 4:40 a.m.
NER Named-entity recognition batch_69e296bab8b48190b373b4efbd6f0d8c completed April 17, 2026, 8:23 p.m.
NED1 Entity disambiguation (via context triple) batch_6a0035537d188190a88753d58939faf4 completed May 10, 2026, 7:35 a.m.
Created at: April 10, 2026, 5:07 a.m.