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#homotopy_sphere

Homotopy sphere

Concept in algebraic topology

In algebraic topology, a branch of mathematics, a homotopy sphere is an n-manifold that is homotopy equivalent to the n-sphere. It thus has the same homotopy groups and the same homology groups as the n-sphere, and so every homotopy sphere is necessarily a homology sphere.

Mon 27th

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Homotopy sphere Homotopy groups of spheres Generalized Poincaré conjecture Homotopy group Exotic sphere Sphere eversion Homotopy Sphere Homotopy theory 3-sphere

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