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]

Examples

Geodesic lamination of a closed surface

See also

Notes

  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
  3. Laminations and foliations in dynamics, geometry and topology: proceedings of the conference on laminations and foliations in dynamics, geometry and topology, May 18-24, 1998, SUNY at Stony Brook
  4. Houghton, Jeffrey. "Useful Tools in the Study of Laminations" Paper presented at the annual meeting of the Mathematical Association of America MathFest, Omni William Penn, Pittsburgh, PA, Aug 05, 2010
  5. Tomoki KAWAHIRA: Topology of Lyubich-Minsky's laminations for quadratic maps: deformation and rigidity (3 heures)
  6. Topological models for some quadratic rational maps by Vladlen Timorin
  7. Modeling Julia Sets with Laminations: An Alternative Definition by Debra Mimbs Archived 2011-07-07 at the Wayback Machine

References

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