Triple

Target class: cohomological refinement
Context triple: [Cheeger–Simons differential characters, instanceOf, cohomological refinement]

• A. cohomology theory
  A cohomology theory is a functorial assignment of graded algebraic invariants to topological spaces (or other mathematical objects) that encodes global structural and obstruction information via axioms such as exactness and homotopy invariance.
• B. cohomological method
  A cohomological method is a technique in mathematics that uses cohomology theories to translate geometric, topological, or algebraic problems into computations with cohomology groups, enabling the extraction of structural and invariant information.
• C. cohomological invariant chosen
  A cohomological invariant is a rule that assigns to each object in a given class (such as algebraic varieties, groups, or topological spaces) an element of a cohomology group in a way that is functorial and captures structural or classification information about those objects.
• D. homological invariant
  A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
• E. result in equivariant cohomology
  A result in equivariant cohomology is a theorem or statement describing how cohomological invariants behave under a group action, typically relating equivariant cohomology groups to ordinary cohomology or geometric data of the action.
• F. None of above.