Gromov’s non-squeezing theorem

Target entity: Gromov’s non-squeezing theorem
Context triple: [Mikhail Gromov, notableFor, Gromov’s non-squeezing theorem]

• A. Nash embedding theorem
  The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
• B. Cheeger–Gromov compactness theorem
  The Cheeger–Gromov compactness theorem is a fundamental result in Riemannian geometry that gives conditions under which a sequence of Riemannian manifolds has a subsequence converging (in the Gromov–Hausdorff or smooth sense) to a limit space.
• C. Smale–Hirsch immersion theorem
  The Smale–Hirsch immersion theorem is a fundamental result in differential topology that classifies immersions of manifolds up to regular homotopy in terms of bundle monomorphisms between their tangent bundles.
• D. McDuff–Salamon theory of J-holomorphic curves
  The McDuff–Salamon theory of J-holomorphic curves is a foundational framework in symplectic geometry that systematically develops the analysis, topology, and applications of pseudoholomorphic curves in symplectic manifolds.
• E. Introduction to Symplectic Topology
  Introduction to Symplectic Topology is a foundational graduate-level textbook that systematically develops the theory and applications of symplectic manifolds and symplectic geometry.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Gromov’s non-squeezing theorem
Target entity description: Gromov’s non-squeezing theorem is a fundamental result in symplectic geometry that reveals a rigid constraint on symplectic embeddings, showing that certain volume-preserving transformations cannot "squeeze" a ball into a thinner cylinder despite having enough volume.

• A. Nash embedding theorem
  The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
• B. Cheeger–Gromov compactness theorem
  The Cheeger–Gromov compactness theorem is a fundamental result in Riemannian geometry that gives conditions under which a sequence of Riemannian manifolds has a subsequence converging (in the Gromov–Hausdorff or smooth sense) to a limit space.
• C. Smale–Hirsch immersion theorem
  The Smale–Hirsch immersion theorem is a fundamental result in differential topology that classifies immersions of manifolds up to regular homotopy in terms of bundle monomorphisms between their tangent bundles.
• D. McDuff–Salamon theory of J-holomorphic curves
  The McDuff–Salamon theory of J-holomorphic curves is a foundational framework in symplectic geometry that systematically develops the analysis, topology, and applications of pseudoholomorphic curves in symplectic manifolds.
• E. Introduction to Symplectic Topology
  Introduction to Symplectic Topology is a foundational graduate-level textbook that systematically develops the theory and applications of symplectic manifolds and symplectic geometry.
• F. None of above. chosen