- Lamination (topology)
In topology, a branch of mathematics, a lamination is a :
- "A topological space partitioned into subsets"
- 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.
Lamination of surface is a partition of closed subset of surface into unions of smooth curves
- A geodesic lamination of a 2-dimensional hyperbolic manifold is a closed subset together with a foliation of this closed subset by geodesics. 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. These laminations are associated with quadratic maps . It is a closed collection of chords in the unit disc . It is also topological model of Mandelbrot or Julia set.
- ^ Lamination in The Online Encyclopaedia of Mathematics 2002 Springer-Verlag Berlin Heidelberg New York
- ^ http://www.ornl.gov/sci/ortep/topology/defs.txt 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 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
- Conformal Laminations Thesis by Vineet Gupta, California Institute of Technology Pasadena, California 2004
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