A Relative Nash Theorem

DOI10.2307/1998665zbMath0491.57016OpenAlexW4248774475MaRDI QIDQ3952846

Selman Akbulut, Henry C. King

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998665

zbMATH Keywords

resolution of singularitiesapproximating smooth manifolds by algebraic manifoldscone over a smooth manifold as an isolated singularity of an algebraic varietysystem of pairwise transversal submanifolds of a smooth manifold

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Differential topology (57R99) Embeddings in differential topology (57R40) Real-analytic and Nash manifolds (58A07)

Related Items (11)

Algebraic Cycles and Approximation Theorems in Real Algebraic Geometry ⋮ On real algebraic models of smooth manifolds ⋮ K-theory of real algebraic surfaces and threefolds ⋮ On algebraicity of global real analytic sets and functions ⋮ Algebraicity of cycles on smooth manifolds ⋮ Polynomial, regular and Nash images of Euclidean spaces ⋮ Complex Cycles on Real Algebraic Models of a Smooth Manifold ⋮ Sums of 2n-th powers of real meromorphic functions ⋮ Cycles on Nash algebraic models of smooth manifolds ⋮ Algebraic models of smooth manifolds ⋮ On homology of real algebraic sets

Cites Work

• All knots are algebraic
• The topology of real algebraic sets with isolated singularities
• Algebraic equations for a class of P. L. spaces
• On the Stiefel-Whitney numbers of complex manifolds and of spin manifolds
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Real algebraic manifolds
• Real algebraic variety structures on P. L. manifolds
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