Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds

DOI10.1215/S0012-7094-04-12412-1zbMath1060.57015arXivmath/0203237MaRDI QIDQ1880378

Daniel Azagra, Manuel Cepedello Boiso

Publication date: 27 September 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203237

zbMATH Keywords

Hilbert manifoldMorse-Sard theorem

Mathematics Subject Classification ID

Smooth approximations in differential topology (57R12) Singularities of differentiable mappings in differential topology (57R45) Differentiability questions for infinite-dimensional manifolds (58B10)

Related Items

Approximation by smooth functions with no critical points on separable Banach spaces ⋮ Smooth approximations without critical points ⋮ Extraction of critical points of smooth functions on Banach spaces ⋮ Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds ⋮ Smooth approximations without critical points of continuous mappings between Banach spaces, and diffeomorphic extractions of sets

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