Handle (Mathematics)

In topology, a branch of mathematics, a handle is just a topological ball; it is called a handle because of the context in which it is discussed, of which there are two: handle decompositions and handlebodies. A handle is a subset of a manifold built up (or decomposed) by handle decomposition. A handle is a subset of a handlebody; a handlebody of genus n will have n handles. See also:

 

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