Smooth Manifold
Another word for a 
(infinitely differentiable) Manifold. A smooth manifold is a Topological Manifoldtogether with its ``functional structure'' (Bredon 1995) and so differs from a Topological Manifold because the notionof differentiability exists on it. Every smooth manifold is a Topological Manifold, but not necessarily vice versa. (The first nonsmooth Topological Manifold occurs in 4-D.) In 1959, Milnor showed that a 7-D Hypersphere can bemade into a smooth manifold in 28 ways.
References
Bredon, G. E. Topology & Geometry. New York: Springer-Verlag, p. 69, 1995.
- Probability Function
- Probability Inequality
- Probability Integral
- Probability Measure
- Probability Space
- Probable Error
- Probable Prime
- Problem
- Procedure
- Proclus' Axiom
- Procrustian Stretch
- Product
- Product Formula
- Product-Moment Coefficient of Correlation
- Product Neighborhood
- Product Rule
- Product Space
- Program
- Projection
- Projection Operator
- Projective Collineation
- Projective General Linear Group
- Projective General Orthogonal Group
- Projective General Unitary Group
- Projective Geometry