Lamination (topology)
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.
Lamination of surface is a partition of closed subset of surface into unions of smooth curves
It may or may not be possible to fill the gaps in a lamination to make a foliation.[2]
Examples
References
- ^ 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
See also