Smooth manifold

From Maths
Revision as of 07:00, 7 April 2015 by Alec (Talk | contribs) (Created page with " ==Definition== A ''smooth manifold'' is<ref>Introduction to smooth manifolds - John M Lee - Second Edition</ref> a pair {{M|(M,\mathcal{A})}} where {{M|M}} is a Topological...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Definition

A smooth manifold is[1] a pair [ilmath](M,\mathcal{A})[/ilmath] where [ilmath]M[/ilmath] is a topological [ilmath]n[/ilmath]-manifold and [ilmath]\mathcal{A} [/ilmath] is a smooth structure on [ilmath]M[/ilmath]

We may now talk about "smooth manifolds"

See also

References

  1. Introduction to smooth manifolds - John M Lee - Second Edition