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单词 HandleDecomposition
释义

handle decomposition


Let Mn be a smooth, connected, closed n dimensional manifoldMathworldPlanetmath.A handle is Hλn=Bλ×Bn-λ where Bλ is a λ-ball.

Any such manifold M is diffeomorphic to the union of finitely many such handles where each handle Hλn is in a one-to-one correspondence with the critical points of λ of a Morse function on M.

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更新时间:2025/5/3 17:26:48