TY - JOUR AU - Azagra Rueda, Daniel AU - Cepelledo Boiso, M.C. PY - 2004 DO - 10.1215/S0012-7094-04-12412-1 SN - 0012-7094 UR - https://hdl.handle.net/20.500.14352/49823 T2 - Duke mathematical journal AB - We prove that every continuous mapping from a separable infinite-dimensional Hilbert space X into R-m can be uniformly approximated by C-infinity-smooth mappings with no critical points. This kind of result can be regarded as a sort of strong... LA - eng M2 - 47 PB - DUKE UNIV PRESS KW - Dimensional Banach-spaces KW - Morse-sard theorem KW - Singular maps KW - Image size KW - Negligibility KW - Sets TI - Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds TY - journal article VL - 124 ER -