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: Thom isomorphism | Statement: [Characteristic Classes, hasSubject, Thom isomorphism]

Target entity: Thom isomorphism
Context triple: [Characteristic Classes, hasSubject, Thom isomorphism]

• A. Thom cobordism theory
  Thom cobordism theory is a foundational branch of algebraic topology developed by René Thom that classifies manifolds up to cobordism using homotopy-theoretic and characteristic class methods.
• B. Thom space construction chosen
  The Thom space construction is a fundamental operation in algebraic topology that associates a topological space to a vector bundle, playing a central role in cobordism theory and characteristic classes.
• C. Bott periodicity
  Bott periodicity is a fundamental theorem in homotopy theory and K-theory that reveals a repeating pattern in the homotopy groups of classical groups, leading to the periodic structure of topological K-theory.
• D. Hopf invariant
  The Hopf invariant is a topological integer-valued invariant that classifies certain continuous maps between spheres, playing a central role in homotopy theory and the study of higher-dimensional linking.
• E. Hirzebruch signature theorem
  The Hirzebruch signature theorem is a fundamental result in differential topology that expresses the signature of a smooth, compact, oriented 4k-dimensional manifold as a polynomial in its Pontryagin classes.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.