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单词 Handle
释义

Handle

Handles 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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更新时间:2025/2/22 21:46:10