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Leaf (Foliation)

Let $M^n$ be an $n$-Manifold and let ${\hbox{\sf F}}=\{F_\alpha\}$ denote a Partition of $M$ into Disjoint path-connected Subsets. Then if ${\hbox{\sf F}}$ is a Foliation of $M$, each $F_\alpha$ is called a leaf and is not necessarily closed or compact.

See also Foliation


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

© 1996-9 Eric W. Weisstein