Stratified-algebraic vector bundles

DOI10.1515/crelle-2015-0105zbMath1410.14045arXiv1308.4376OpenAlexW3102228372MaRDI QIDQ1628521

Krzysztof Kurdyka, Wojciech Kucharz

Publication date: 4 December 2018

Published in: Journal für die Reine und Angewandte Mathematik, Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4376

zbMATH Keywords

de Rham cohomologycharacteristic classesHopf's theoremhomotopy extension theoremuniversal coefficient theoremreal algebraic modelorientablecompact smooth manifoldsparallelizableNash Tognoli theoremLefschetz hyperplane theoremHironaka resolutionBlow upsprojective complexification

Mathematics Subject Classification ID

Jacobian problem (14R15) Real algebraic sets (14P05) Classical real and complex (co)homology in algebraic geometry (14F25) Semialgebraic sets and related spaces (14P10) Global theory of complex singularities; cohomological properties (32S20) Topology of real algebraic varieties (14P25) Algebraic topology on manifolds and differential topology (57R19) Intersection homology and cohomology in algebraic topology (55N33)

Related Items

On approximation of maps into real algebraic homogeneous spaces ⋮ Piecewise-regular maps ⋮ Stratified-algebraic vector bundles of small rank ⋮ Some open questions in real algebraic geometry ⋮ Hartogs-type theorems in real algebraic geometry. I ⋮ Approximation and homotopy in regulous geometry ⋮ Central algebraic geometry and seminormality ⋮ Stratified vector bundles: examples and constructions ⋮ A closedness theorem and applications in geometry of rational points over Henselian valued fields ⋮ Approximation by piecewise-regular maps ⋮ Comparison of stratified-algebraic and topological K-theory ⋮ An application of ample vector bundles in real algebraic geometry ⋮ Approximation of maps into spheres by regulous maps ⋮ Curve-rational functions ⋮ Weak and semi normalization in real algebraic geometry ⋮ Continuous rational functions on real and \(p\)-adic varieties ⋮ Integral closures in real algebraic geometry

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