释义 |
HandleHandles are to Manifolds as Cells are toCW-Complexes. If is a Manifold together with a -Sphere embedded in its boundary with a trivial Tubular Neighborhood, we attach a -handle to by gluing the tubularNeighborhood of the -Sphere to the Tubular Neighborhood of the standard -Sphere in the dim( )-dimensional Disk.
In this way, attaching a -handle is essentially just the process of attaching a fattened-up -Disk to along the -Sphere . The embedded Disk in this new Manifold is called the -handlein the Union of and the handle. See also Handlebody, Surgery, Tubular Neighborhood
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