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]}

- A
**geodesic lamination**of a 2-dimensional hyperbolic manifold is a closed subset together with a foliation of this closed subset by geodesics.^{[3]}These are used in Thurston's classification of elements of the mapping class group and in his theory of earthquake maps. - Quadratic laminations, which remain invariant under the angle doubling map.
^{[4]}These laminations are associated with quadratic maps.^{[5]}^{[6]}It is a closed collection of chords in the unit disc.^{[7]}It is also topological model of Mandelbrot or Julia set.

**^**"Lamination",*Encyclopedia of Mathematics*, EMS Press, 2001 [1994]**^**"Defs.txt". Archived from the original on 2009-07-13. Retrieved 2009-07-13. Oak Ridge National Laboratory**^**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**^**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**^**Tomoki KAWAHIRA: Topology of Lyubich-Minsky's laminations for quadratic maps: deformation and rigidity (3 heures)**^**Topological models for some quadratic rational maps by Vladlen Timorin**^**Modeling Julia Sets with Laminations: An Alternative Definition by Debra Mimbs Archived 2011-07-07 at the Wayback Machine