Algebraic models of smooth manifolds

DOI10.1007/BF01388891zbMath0687.14023MaRDI QIDQ1262915

Wojciech Kucharz, Jacek Bochnak

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143715

zbMATH Keywords

Stiefel-Whitney classalgebraic modelreal affine algebraic varietyreal regular functions

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Real algebraic and real-analytic geometry (14Pxx)

Related Items (27)

On approximation of maps into real algebraic homogeneous spaces ⋮ Algebraic Cycles and Approximation Theorems in Real Algebraic Geometry ⋮ Piecewise-regular maps ⋮ Elliptic curves and real algebraic morphisms into the 2-sphere ⋮ Real algebraic hypersurfaces in complex projective varieties ⋮ Algebraic obstructions and a complete solution of a rational retraction problem ⋮ On real algebraic models of smooth manifolds ⋮ Regular versus continuous rational maps ⋮ Morphisms, line bundles and moduli spaces in real algebraic geometry ⋮ Approximation and homotopy in regulous geometry ⋮ Approximation by continuous rational maps into spheres ⋮ Algebraicity of cycles on smooth manifolds ⋮ Topological invariants of real algebraic actions ⋮ Homology classes of real algebraic sets ⋮ An application of ample vector bundles in real algebraic geometry ⋮ On the field of definition of vector bundles on real varieties ⋮ Complex Cycles on Real Algebraic Models of a Smooth Manifold ⋮ On the integral Hodge conjecture for real varieties. I ⋮ Algebraic cycles and algebraic models of smooth manifolds ⋮ Homology of real algebraic varieties and morphisms to spheres ⋮ Cycles on algebraic models of smooth manifolds ⋮ Algebraic equivalence of real algebraic cycles ⋮ Cycles on Nash algebraic models of smooth manifolds ⋮ Nonisomorphic algebraic models of a smooth manifold ⋮ Connected sum of compact analytic hypersurfaces ⋮ Rational maps in real algebraic geometry ⋮ Differentiable approximation of continuous semialgebraic maps

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