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单词 Foliation
释义

Foliation

Let be an -Manifold and let denote a Partition of intoDisjoint path-connected Subsets. Then is called a foliation of ofcodimension (with ) if there Exists a Cover of by Open Sets, each equipped with a Homeomorphism or which throws each nonemptycomponent of onto a parallel translation of the standard Hyperplane in .Each is then called a Leaf and is not necessarily closed or compact.

See also Leaf (Foliation), Reeb Foliation


References

Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 284, 1976.


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