prime n-manifold

A n-manifold (http://planetmath.org/TopologicalManifold) $M$ is called if for all the factorizations of $M$ , as a connected sum (http://planetmath.org/ConnectedSum2) $M=M_{1}\#M_{2}$ , one finds that one of the factors $M_{1}$ or $M_{2}$ is the n-sphere $S^{n}$ .

The importance for 3-manifold is the existence and uniqueness prime decomposition theorem which says: Each 3-manifold can be decomposed as a connected sum of prime manifolds.

Title	prime n-manifold
Canonical name	PrimeNmanifold
Date of creation	2013-03-22 16:05:37
Last modified on	2013-03-22 16:05:37
Owner	juanman (12619)
Last modified by	juanman (12619)
Numerical id	14
Author	juanman (12619)
Entry type	Feature
Classification	msc 57N10