Algebraic approximation of mappings into spheres

DOI10.1307/mmj/1029003489zbMath0631.14019OpenAlexW2052431521MaRDI QIDQ1094487

Wojciech Kucharz, Jacek Bochnak

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003489

zbMATH Keywords

approximation of differentiable mappings by real rational maps

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Differentiable mappings in differential topology (57R35) Real algebraic and real-analytic geometry (14Pxx)

Related Items (23)

On approximation of maps into real algebraic homogeneous spaces ⋮ Some conjectures on continuous rational maps into spheres ⋮ Piecewise-regular maps ⋮ Stratified-algebraic vector bundles ⋮ Continuous rational maps into spheres ⋮ Algebraic obstructions and a complete solution of a rational retraction problem ⋮ Cremona transformations and diffeomorphisms of surfaces ⋮ On real algebraic models of smooth manifolds ⋮ Some open questions in real algebraic geometry ⋮ Morphisms, line bundles and moduli spaces in real algebraic geometry ⋮ Approximation and homotopy in regulous geometry ⋮ Approximation of maps into spheres by piecewise-regular maps of class \(C^k\) ⋮ Approximation by piecewise-regular maps ⋮ Approximation by continuous rational maps into spheres ⋮ Algebraic maps from spheres to spheres ⋮ Complex Cycles on Real Algebraic Models of a Smooth Manifold ⋮ Automorphisms of real rational surfaces and weighted blow-up singularities ⋮ Homology of real algebraic varieties and morphisms to spheres ⋮ Algebraic models of smooth manifolds ⋮ Vector bundles over real algebraic varieties ⋮ Real algebraic morphisms on 2-dimensional conic bundles ⋮ Rational maps in real algebraic geometry ⋮ A note on approximation and homotopy in $C(X,S^n)$, $n=1,3,7$

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