Difference between revisions of "Atlas"

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Latest revision as of 06:44, 7 April 2015

Note: this page defines an atlas on a Topological manifold which isn't very useful by itself, see Smooth atlas

Definition

An atlas for [ilmath]M[/ilmath][1] (where [ilmath]M[/ilmath] is a topological [ilmath]n[/ilmath]-manifold) is a collection of charts whose domains cover [ilmath]M[/ilmath]

Notation

A common letter used for atlases is [ilmath]\mathcal{A} [/ilmath]

See also

References

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