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most citedUniform approximation of continuous functions by smooth functions with no critical points on Hilbert manifolds

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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…