Algebraicity versus analyticity

DOI10.1216/RMJ-1984-14-4-863zbMath0568.32005OpenAlexW2046345968MaRDI QIDQ1060327

Jacek Bochnak

Publication date: 1984

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1984-14-4-863

zbMATH Keywords

polynomialsanalytic setsNash functionsalgebraic setscoherent analytic germsweakly finitely determined germs

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Real-analytic and Nash manifolds (58A07) Real-analytic manifolds, real-analytic spaces (32C05) Real algebraic and real-analytic geometry (14Pxx)

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Almost analytic local algebraicity of analytic sets and functions ⋮ Higher order approximation of analytic sets by topologically equivalent algebraic sets ⋮ Approximation of analytic sets along Nash subvarieties