TY - JOUR AU - Azagra Rueda, Daniel AU - Jiménez Sevilla, María Del Mar PY - 2007 DO - 10.1016/j.jfa.2006.08.009 SN - 0022-1236 UR - https://hdl.handle.net/20.500.14352/49820 T2 - Journal of Functional Analysis AB - We characterize the class of separable Banach spaces X such that for every continuous function f : X -> Rand for every continuous function epsilon : X -> (0, +infinity) there exists a C-1 smooth function g: X -> R for which vertical bar f(x) -... LA - eng M2 - 1 PB - Elsevier KW - Rolles theorem KW - Singular maps KW - Hilbert-space KW - Image size KW - Manifolds KW - Morse-Sard theorem KW - smooth bump functions KW - critical points KW - approximation by smooth functions KW - Sard functions TI - Approximation by smooth functions with no critical points on separable Banach spaces TY - journal article VL - 242 ER -