Nash function: Difference between revisions

Revision as of 13:32, 19 November 2007

Revision as of 18:28, 13 March 2008

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that any compact [[differentiable manifold|''C''^∞ manifold]] admits a Nash manifold structure,

i.e., is diffeomorphic to some Nash manifold. More generally, a

''C''^∞ manifold admits a Nash manifold strucurestructure if and only if it

is diffeomorphic to the interior of some compact ''C''^∞ manifold

possibly with boundary. Nash's result was later (1973) completed by Alberto