Lamination (topology)

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Lamination associated with Mandelbrot set
Lamination of rabbit Julia set

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

  • "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]


See also[edit]


  1. ^ Lamination in The Online Encyclopaedia of Mathematics 2002 Springer-Verlag Berlin Heidelberg New York
  2. ^ 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