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: algebraic topology | Statement: [Euler’s polyhedron formula, mathematicalDomain, algebraic topology]

Target entity: algebraic topology
Context triple: [Euler’s polyhedron formula, mathematicalDomain, algebraic topology]

• A. Alexandrov–Čech cohomology
  Alexandrov–Čech cohomology is a topological cohomology theory that computes invariants of spaces using inverse limits over open covers, closely related to and often coinciding with sheaf cohomology.
• B. Morse Theory
  Morse Theory is a branch of differential topology that studies the relationship between the topology of manifolds and the critical points of smooth real-valued functions defined on them.
• C. K-theory chosen
  K-theory is a branch of algebraic topology and algebraic geometry that studies vector bundles and generalized cohomology theories using algebraic and categorical methods.
• D. h-cobordism theorem
  The h-cobordism theorem is a fundamental result in differential topology that classifies when two high-dimensional manifolds are diffeomorphic by analyzing the structure of a cobordism between them.
• E. Whitney approximation theorem
  The Whitney approximation theorem is a fundamental result in differential topology stating that any continuous function between smooth manifolds can be uniformly approximated by smooth functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.