Moscow school of topology

Target entity: Moscow school of topology
Context triple: [Pavel Alexandrov, influenced, Moscow school of topology]

• A. Categories for the Working Mathematician
  Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
• B. Poincaré conjecture
  The Poincaré conjecture is a landmark problem in topology that characterizes the three-dimensional sphere among three-dimensional manifolds and was famously solved by Grigori Perelman in the early 2000s.
• C. Lwów School of Mathematics
  The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
• D. Erlangen Program
  The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
• E. Poincaré–Hopf theorem
  The Poincaré–Hopf theorem is a fundamental result in differential topology that relates the sum of the indices of a vector field’s isolated zeros on a compact manifold to the manifold’s Euler characteristic.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Moscow school of topology
Target entity description: The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.

• A. Categories for the Working Mathematician
  Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
• B. Poincaré conjecture
  The Poincaré conjecture is a landmark problem in topology that characterizes the three-dimensional sphere among three-dimensional manifolds and was famously solved by Grigori Perelman in the early 2000s.
• C. Lwów School of Mathematics
  The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
• D. Erlangen Program
  The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
• E. Poincaré–Hopf theorem
  The Poincaré–Hopf theorem is a fundamental result in differential topology that relates the sum of the indices of a vector field’s isolated zeros on a compact manifold to the manifold’s Euler characteristic.
• F. None of above. chosen