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Exotic sphere — In differential topology, a mathematical discipline, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n sphere. That is, M is a sphere from the point of view of all its… … Wikipedia
Cohomotopy group — In mathematics, particularly algebraic topology, cohomotopy sets are particular contravariant functors from the category of pointed topological spaces and point preserving continuous maps to the category of sets and functions. They are dual to… … Wikipedia
Linking number — In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other. The… … Wikipedia
Dehn surgery — In topology, a branch of mathematics, a Dehn surgery, named after Max Dehn, is a specific construction used to modify 3 manifolds. The process takes as input a 3 manifold together with a link. Dehn surgery can be thought of as a two stage process … Wikipedia

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