topics in manifold theory


A manifoldMathworldPlanetmath is a space that is locally like n, however lacking a preferred system of coordinates. Furthermore, a manifold can have global topological properties, such as non-contractible loops (http://planetmath.org/Curve), that distinguish it from the topologically trivial n.

By imposing different restrictions on the transition functions of a manifold, one obtain different types of manifolds:

Special types of manifolds

On manifolds, one can introduce more . Some examples are:

Examples

See also

For the formal definition click here (http://planetmath.org/Manifold)
http://en.wikipedia.org/wiki/ManifoldManifold entry at Wikipedia

Title topics in manifold theory
Canonical name TopicsInManifoldTheory
Date of creation 2013-03-22 14:11:04
Last modified on 2013-03-22 14:11:04
Owner evin290 (5830)
Last modified by evin290 (5830)
Numerical id 15
Author evin290 (5830)
Entry type Topic
Classification msc 53-00