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: [Karol Borsuk, knownFor, Borsuk–Ulam theorem]

Target entity: Borsuk–Ulam theorem
Context triple: [Karol Borsuk, knownFor, Borsuk–Ulam theorem]

• A. 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.
• B. 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.
• C. 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.
• D. 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.
• E. Borsuk’s conjecture in geometry
  Borsuk’s conjecture in geometry is a famous (now disproven in higher dimensions) problem in metric geometry that proposed any bounded set in n-dimensional Euclidean space can be partitioned into n+1 subsets of smaller diameter.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Borsuk–Ulam theorem
Triple: [Karol Borsuk, knownFor, Borsuk–Ulam theorem]

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.

Target entity: Borsuk–Ulam theorem
Target entity description: 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.

• A. 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.
• B. 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.
• C. 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.
• D. 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.
• E. Borsuk’s conjecture in geometry
  Borsuk’s conjecture in geometry is a famous (now disproven in higher dimensions) problem in metric geometry that proposed any bounded set in n-dimensional Euclidean space can be partitioned into n+1 subsets of smaller diameter.
• F. None of above. chosen