Geometric topology | Algebraic topology

Microbundle

In mathematics, a microbundle is a generalization of the concept of vector bundle, introduced by the American mathematician John Milnor in 1964. It allows the creation of bundle-like objects in situations where they would not ordinarily be thought to exist. For example, the tangent bundle is defined for a smooth manifold but not a topological manifold; use of microbundles allows the definition of a topological tangent bundle. (Wikipedia).

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From playlist Computer Science Concepts

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Related pages

Tangent bundle | Topological manifold | Topological space | Homotopy | Fiber bundle | Homeomorphism | Germ (mathematics) | Parallelizable manifold | Piecewise linear manifold | Dimension | Pullback bundle | Commutative diagram | Neighbourhood (mathematics) | Mathematics | Integer | Section (fiber bundle) | Cartesian product | Vector bundle | Category of manifolds | Smooth structure | Category (mathematics)