Manifolds | Differential topology

Kervaire manifold

In mathematics, specifically in differential topology, a Kervaire manifold is a piecewise-linear manifold of dimension constructed by Michel Kervaire by plumbing together the tangent bundles of two -spheres, and then gluing a ball to the result. In 10 dimensions this gives a piecewise-linear manifold with no smooth structure. (Wikipedia).

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From playlist Chemistry glossary

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Related pages

Tangent bundle | Exotic sphere | Ball (mathematics) | Mathematics | N-sphere | Smooth structure | Differential topology