Triple

T19456676
Position Surface form Disambiguated ID Type / Status
Subject Almost Periodic Functions E486749 entity
Predicate centralConcept P533 FINISHED
Object Bohr compactification NE NERFINISHED

How this triple was built (3 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: Bohr compactification | Statement: [Almost Periodic Functions, centralConcept, Bohr compactification]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bohr compactification
Context triple: [Almost Periodic Functions, centralConcept, Bohr compactification]
  • A. Freudenthal compactification
    The Freudenthal compactification is a topological construction that extends a non-compact, locally compact space by adding a boundary of “ends” to obtain a compact space that more finely captures its asymptotic structure than the one-point (Alexandrov) compactification.
  • B. Stone–Čech compactification
    The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
  • C. Banach–Mazur compactum
    The Banach–Mazur compactum is a compact topological space whose points represent isometry classes of finite-dimensional normed spaces, serving as a fundamental object in the geometry of Banach spaces.
  • D. Bochner–Riesz means
    Bochner–Riesz means are a family of summability methods in harmonic analysis used to improve the convergence of Fourier series and Fourier integrals by smoothing their partial sums.
  • E. Introduction to Abstract Harmonic Analysis
    Introduction to Abstract Harmonic Analysis is a foundational graduate-level textbook that systematically develops the theory of harmonic analysis on topological groups and related abstract structures.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bohr compactification
Target entity description: The Bohr compactification is a construction in harmonic analysis that associates to a topological group a universal compact group through which all almost periodic functions on the original group factor.
  • A. Freudenthal compactification
    The Freudenthal compactification is a topological construction that extends a non-compact, locally compact space by adding a boundary of “ends” to obtain a compact space that more finely captures its asymptotic structure than the one-point (Alexandrov) compactification.
  • B. Stone–Čech compactification
    The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
  • C. Banach–Mazur compactum
    The Banach–Mazur compactum is a compact topological space whose points represent isometry classes of finite-dimensional normed spaces, serving as a fundamental object in the geometry of Banach spaces.
  • D. Bochner–Riesz means
    Bochner–Riesz means are a family of summability methods in harmonic analysis used to improve the convergence of Fourier series and Fourier integrals by smoothing their partial sums.
  • E. Introduction to Abstract Harmonic Analysis
    Introduction to Abstract Harmonic Analysis is a foundational graduate-level textbook that systematically develops the theory of harmonic analysis on topological groups and related abstract structures.
  • F. None of above. chosen

Provenance (2 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_69d8e8d86d608190bd199a98d0297f27 completed April 10, 2026, 12:11 p.m.
NER Named-entity recognition batch_69e633c4088881908f23f25a82a513f6 completed April 20, 2026, 2:10 p.m.
Created at: April 10, 2026, 1:38 p.m.