Triple

T21047167
Position Surface form Disambiguated ID Type / Status
Subject Baire category theorem E518477 entity
Predicate relatedTo P37 FINISHED
Object Banach–Mazur game — NE NERFINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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: Banach–Mazur game | Statement: [Baire category theorem, relatedTo, Banach–Mazur game]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Banach–Mazur game
Context triple: [Baire category theorem, relatedTo, Banach–Mazur game]
  • A. Banach–Mazur game chosen
    The Banach–Mazur game is an infinite two-player topological game used to characterize properties such as Baire category and completeness in metric and topological spaces.
  • B. Gale–Stewart game
    The Gale–Stewart game is an infinite two-player game of perfect information on sequences of natural numbers, fundamental in descriptive set theory and the study of determinacy.
  • C. Mazurkiewicz–Sierpiński theorem
    The Mazurkiewicz–Sierpiński theorem is a result in topology and measure theory that characterizes certain properties of measurable sets and mappings, particularly concerning continuous images of sets in Euclidean spaces.
  • D. Mazurkiewicz–Sierpiński paradox
    The Mazurkiewicz–Sierpiński paradox is a result in set-theoretic geometry showing that a sphere can be decomposed and reassembled in a counterintuitive way, illustrating the existence of paradoxical decompositions similar to the Banach–Tarski paradox.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 batches)

Stage Batch ID Job type Status
creating batch_69e0b50438e08190917e2538bb8bc034 elicitation completed
NER batch_69e6fcf4d26481908b639996500a8319 ner completed
Created at: April 16, 2026, 2:34 p.m.