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Lamination (topology)

Lamination associated with Mandelbrot set
Lamination of rabbit Julia set

In topology, a branch of mathematics, a lamination is a :

  • "topological space partitioned into subsets"[1]
  • decoration (a structure or property at a point) of a manifold in which some subset of the manifold is partitioned into sheets of some lower dimension, and the sheets are locally parallel.

A lamination of a surface is a partition of a closed subset of the surface into smooth curves.

It may or may not be possible to fill the gaps in a lamination to make a foliation.[2]

  1. ^ "Lamination", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
  2. ^ "Defs.txt". Archived from the original on 2009-07-13. Retrieved 2009-07-13. Oak Ridge National Laboratory
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