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: Open Mapping Theorem | Statement: [Closed Graph Theorem, relatedTo, Open Mapping Theorem]

Target entity: Open Mapping Theorem
Context triple: [Closed Graph Theorem, relatedTo, Open Mapping Theorem]

• A. open mapping theorem chosen
  The open mapping theorem is a fundamental result in functional analysis stating that any surjective continuous linear operator between Banach spaces maps open sets to open sets.
• B. Riemann mapping theorem
  The Riemann mapping theorem is a fundamental result in complex analysis stating that any non-empty simply connected open subset of the complex plane (other than the whole plane) can be conformally mapped onto the open unit disk.
• C. Montel theorem
  Montel's theorem is a fundamental result in complex analysis stating that a family of holomorphic functions that is uniformly bounded on every compact subset of a domain is a normal family, meaning every sequence in it has a subsequence that converges uniformly on compact sets.
• D. Lindelöf theorem in complex analysis
  The Lindelöf theorem in complex analysis is a result that refines the maximum modulus principle by controlling the boundary growth of analytic functions, particularly along paths approaching boundary points of their domain.
• E. Picard theorem
  Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.