Algebraic obstructions and a complete solution of a rational retraction problem

DOI10.1090/S0002-9939-02-06617-0zbMath1043.14017OpenAlexW1554027204MaRDI QIDQ4547025

Riccardo Ghiloni

Publication date: 20 August 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06617-0

zbMATH Keywords

Nash submanifoldsalgebraic obstructionsregular rational retractions

Mathematics Subject Classification ID

Real algebraic sets (14P05) Topology of real algebraic varieties (14P25) Real-analytic and Nash manifolds (58A07) Nash functions and manifolds (14P20)

Related Items (1)

Second order homological obstructions on real algebraic manifolds

Cites Work

• On homology of real algebraic sets
• On the extension of Nash functions
• A resolution theorem for homology cycles of real algebraic varieties
• Algebraic approximation of mappings into spheres
• On real algebraic morphisms into even-dimensional spheres
• The topology of real algebraic sets with isolated singularities
• On approximating submanifolds by algebraic sets and a solution to the Nash conjecture
• Algebraic models of smooth manifolds
• Algebraic cycles on the real \(K3\)-surfaces.
• The Weierstrass approximation theorem for maps between real algebraic varieties
• Real algebraic hypersurfaces in complex projective varieties
• Real algebraic cycles on complex projective varieties
• The Weierstrass approximation theorem and a characterization of the unit circle
• Algebraic Cycles and Approximation Theorems in Real Algebraic Geometry
• 6-Dimensional Manifolds without Totally Algebraic Homology
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