Uniform bounds on complexity and transfer of global properties of Nash functions

DOI10.1515/crll.2001.056zbMath0981.14028OpenAlexW1970398285MaRDI QIDQ2729305

Masahiro Shiota, Jesus Ma. Ruiz Sancho, Michel Coste

Publication date: 18 July 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/19835/1/RuizSancho08.pdf

zbMATH Keywords

real spectrumseparation problemTarski-Seidenberg principleaffine Nash manifoldcomplexity of Nash functions

Mathematics Subject Classification ID

Real-analytic and Nash manifolds (58A07) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20) Real algebra (13J30)

Related Items (6)

Nash equidimensionality theorem ⋮ Real spectrum with Nash structural sheaf ⋮ Geometry of hyperfields ⋮ Stratified \({{\mathcal{C}}}^P\)-semialgebraic triviality ⋮ Leibniz complexity of Nash functions on differentiations ⋮ Simultaneous resolution of singularities in the Nash category: finiteness and effectiveness

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