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math.DG2002
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds
Daniel Azagra, Manuel Cepedello Boiso
We prove that every continuous mapping from a separable infinite-dimensional Hilbert space into can be uniformly approximated by smooth mappings {\e…
math.DG2001
Uniform approximation of continuous functions by smooth functions with no critical points on Hilbert manifolds
Daniel Azagra, Manuel Cepedello Boiso
We prove that every continuous function on a separable infinite-dimensional Hilbert space X can be uniformly approximated by smooth functions with no critical points. This kind of…