Difference between revisions of "Manifold is not union of images of manifolds of smaller dimension"
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Revision as of 23:55, 16 January 2008
This fact is an application of the following pivotal fact/result/idea: Sard's theorem
View other applications of Sard's theorem OR Read a survey article on applying Sard's theorem
This article gives a purely topological (or set-theoretic) constraint that we get when we restrict ourselves to the category of differential manifolds with smooth maps