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: Mayer–Vietoris sequence | Statement: [étale cohomology, satisfies, Mayer–Vietoris sequence]

Target entity: Mayer–Vietoris sequence
Context triple: [étale cohomology, satisfies, Mayer–Vietoris sequence]

• A. Mayer–Vietoris sequence in de Rham cohomology
  The Mayer–Vietoris sequence in de Rham cohomology is a long exact sequence that computes the de Rham cohomology of a manifold by relating it to the cohomology of an open cover and their intersection.
• B. Grothendieck spectral sequence
  The Grothendieck spectral sequence is a fundamental tool in homological algebra that relates the derived functors of a composite functor to the derived functors of its components, enabling efficient computation of cohomology.
• C. Serre spectral sequence
  The Serre spectral sequence is a fundamental tool in algebraic topology that relates the homology or cohomology of a fibration to that of its base and fiber, enabling complex computations in a systematic way.
• D. Alexander–Spanier cohomology
  Alexander–Spanier cohomology is a cohomology theory in algebraic topology defined using cochains on all finite subsets of a space, notable for its generality and close relationship to Čech and singular cohomology.
• E. Atiyah–Hirzebruch spectral sequence
  The Atiyah–Hirzebruch spectral sequence is a fundamental computational tool in algebraic topology that relates generalized cohomology theories, such as K-theory, to ordinary cohomology, enabling the step-by-step calculation of these invariants from simpler data.
• 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: Mayer–Vietoris sequence
Triple: [étale cohomology, satisfies, Mayer–Vietoris sequence]

The Mayer–Vietoris sequence is a long exact sequence in (co)homology that relates the (co)homology of a space to that of two overlapping subspaces, serving as a fundamental tool for computing and understanding (co)homological invariants.

Target entity: Mayer–Vietoris sequence
Target entity description: The Mayer–Vietoris sequence is a long exact sequence in (co)homology that relates the (co)homology of a space to that of two overlapping subspaces, serving as a fundamental tool for computing and understanding (co)homological invariants.

• A. Mayer–Vietoris sequence in de Rham cohomology chosen
  The Mayer–Vietoris sequence in de Rham cohomology is a long exact sequence that computes the de Rham cohomology of a manifold by relating it to the cohomology of an open cover and their intersection.
• B. Grothendieck spectral sequence
  The Grothendieck spectral sequence is a fundamental tool in homological algebra that relates the derived functors of a composite functor to the derived functors of its components, enabling efficient computation of cohomology.
• C. Serre spectral sequence
  The Serre spectral sequence is a fundamental tool in algebraic topology that relates the homology or cohomology of a fibration to that of its base and fiber, enabling complex computations in a systematic way.
• D. Alexander–Spanier cohomology
  Alexander–Spanier cohomology is a cohomology theory in algebraic topology defined using cochains on all finite subsets of a space, notable for its generality and close relationship to Čech and singular cohomology.
• E. Atiyah–Hirzebruch spectral sequence
  The Atiyah–Hirzebruch spectral sequence is a fundamental computational tool in algebraic topology that relates generalized cohomology theories, such as K-theory, to ordinary cohomology, enabling the step-by-step calculation of these invariants from simpler data.
• F. None of above.