Example image of eyePlorer eyePlorer map for 'Exotic sphere': Diffeomorphism Differentiable manifold Homeomorphism Mathematics Sphere Differential structure Cobordism Homotopy sphere Edwin E. Moise Grigori Perelman Michael Freedman Poincaré conjecture Stephen Smale Parallelizable manifold Surgery theory Surgery exact sequence Bernoulli number Homotopy groups of spheres J-homomorphism Index of a subgroup Kervaire invariant Ball (mathematics) Boundary (topology) Quaternion Complex manifold Piecewise linear manifold Kirby–Siebenmann class Michel Kervaire Exotic R4 Borel conjecture Vector fields on spheres Differential topology Space form Sphere theorem Connected sum Geometric topology Georges Reeb Alexander's trick Atlas (topology) Eilenberg–Mazur swindle Hilbert manifold John Milnor Clutching construction Generalized Poincaré conjecture Categories of manifolds Transport of structure Exotic Knot (mathematics) Mathematical beauty Sylvester's sequence