Triple

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).

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

Target entity: Banach–Mazur theorem
Context triple: [Banach–Mazur game, relatedTo, Banach–Mazur theorem]

• A. Banach–Mazur theorem chosen
  The Banach–Mazur theorem is a fundamental result in functional analysis that characterizes separable Banach spaces as isometrically isomorphic to closed subspaces of spaces of continuous functions on compact metric spaces.
• B. Mazur–Ulam theorem
  The Mazur–Ulam theorem is a fundamental result in functional analysis stating that every surjective isometry between real normed vector spaces is necessarily affine.
• C. Banach–Stone theorem
  The Banach–Stone theorem is a fundamental result in functional analysis that characterizes compact Hausdorff spaces via isometric isomorphisms between their spaces of continuous real- or complex-valued functions.
• D. Banach–Mazur distance
  The Banach–Mazur distance is a numerical measure in functional analysis that quantifies how "far apart" two finite-dimensional normed vector spaces are up to linear isomorphism.
• E. Scott–Mazur theorem
  The Scott–Mazur theorem is a result in functional analysis that characterizes when a Banach space is reflexive in terms of the weak compactness of its closed unit ball.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.