Approximation in Compact Nash Manifolds

DOI10.2307/2374953zbMath0873.32007OpenAlexW1999620244MaRDI QIDQ4853424

Masahiro Shiota, Jesus Ma. Ruiz Sancho, Michel Coste

Publication date: 22 September 1997

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374953

zbMATH Keywords

Nash manifoldNash functionsapproximation theoremNéron desingularizationglobal analytic functions

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Real-analytic and Nash manifolds (58A07) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20)

Related Items (17)

Effective approximation of the solutions of algebraic equations ⋮ Smooth Approximations in PL Geometry ⋮ Rings of analytic functions definable in o-minimal structure ⋮ Finiteness problems on Nash manifolds and Nash sets ⋮ On the equivariant blow-Nash classification of simple invariant Nash germs ⋮ Algebraic approximation of analytic sets and mappings ⋮ Approximation on Nash sets with monomial singularities ⋮ The noetherian space of abstract locally nash sets ⋮ Real Milnor Fibres and Puiseux Series ⋮ Approximations in globally subanalytic and Denjoy-Carleman classes ⋮ Nash functions on noncompact Nash manifolds ⋮ On the products of Nash subvarieties by spheres ⋮ Algebraic models of symmetric Nash sets ⋮ Stratified \({{\mathcal{C}}}^P\)-semialgebraic triviality ⋮ Approximation of analytic sets along Nash subvarieties ⋮ Unnamed Item ⋮ On the factoriality of some rings of complex Nash functions

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