Any compact differentiable submanifold of \({\mathbb{R}}^ n\) has an algebraic approximation in \({\mathbb{R}}^ n\)

DOI10.1016/0040-9383(88)90039-0zbMath0664.57010OpenAlexW2084247771MaRDI QIDQ1114972

Alberto Tognoli

Publication date: 1988

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(88)90039-0

zbMATH Keywords

isotopic to a nonsingular real gebraic setsmooth submanifold of \({\mathbb{R}}^ n\)

Mathematics Subject Classification ID

Smooth approximations in differential topology (57R12) Embeddings in differential topology (57R40) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items

Algebraic Cycles and Approximation Theorems in Real Algebraic Geometry, Some new results on the topology of nonsingular real algebraic sets, Nash’s work in algebraic geometry, On approximating submanifolds by algebraic sets and a solution to the Nash conjecture, Complex Cycles on Real Algebraic Models of a Smooth Manifold