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: Borsuk–Ulam theorem | Statement: [Knaster–Kuratowski–Mazurkiewicz lemma, relatedTo, Borsuk–Ulam theorem]

Target entity: Borsuk–Ulam theorem
Context triple: [Knaster–Kuratowski–Mazurkiewicz lemma, relatedTo, Borsuk–Ulam theorem]

• A. Borsuk–Ulam theorem chosen
  The Borsuk–Ulam theorem is a fundamental result in algebraic topology stating that any continuous map from an n-dimensional sphere to Euclidean n-space maps some pair of antipodal points to the same point.
• B. Knaster–Ulam theorem
  The Knaster–Ulam theorem is a result in topology and measure theory that, roughly speaking, guarantees the existence of points with certain symmetry or invariance properties under measure-preserving transformations.
• C. Brouwer fixed-point theorem
  The Brouwer fixed-point theorem is a fundamental result in topology stating that any continuous function from a compact convex set (such as a closed disk) to itself has at least one fixed point.
• D. Sperner's lemma
  Sperner's lemma is a fundamental result in combinatorial topology that guarantees the existence of a fully labeled simplex in certain labeled triangulations, and is widely used to prove fixed-point and equilibrium theorems.
• E. Knaster–Kuratowski–Mazurkiewicz lemma
  The Knaster–Kuratowski–Mazurkiewicz lemma is a fundamental result in combinatorial topology that guarantees the existence of a point common to a family of closed sets covering a simplex under certain intersection conditions, and underlies several fixed-point theorems.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.