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Remarks and counterexamples in the theory of real algebraic vector bundles and cycles

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Part of the Lecture Notes in Mathematics book series (LNM,volume 959)

Keywords

  • Line Bundle
  • Zariski Topology
  • Affine Variety
  • Algebraic Manifold
  • Real Algebraic Variety

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References

  1. BOREL A. and HAEFLIGER A. La classe d’homologie fondamentale d’un espace analytique Bull.Soc.Math. France 89 (1961) pp.461–513.

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  2. BENEDETTI R. and TOGNOLI A. On real algebraic vector bundles Bull.Sc.math. 2e série, 104, 89–112 (1980)

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  3. BOCHNAK J., KUCHARZ W. and SHIOTA M. The divisor class groups of global real analytic, Nash or rational regular function. This volume.

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  4. BOCHNAK J. Topology of real algebraic sets-some open problems. This volume.

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  5. TOGNOLI A. Algebraic geometry and Nash functions Institutiones mathematicae, Vol.III, Acad.Press 1978.

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  6. BENEDETTI R. and DEDO’ M. The topology of two dimensional real algebraic varieties Ann.Mat.Pura Appl. (IV) vol. CXXVII (1981) pp. 141–171.

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  7. TOGNOLI A. Algebraic approximation of manifolds and spaces Sém.Bourbaki, 32 éme année (1979) no 548.

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© 1982 Springer-Verlag

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Benedetti, R., Tognoli, A. (1982). Remarks and counterexamples in the theory of real algebraic vector bundles and cycles. In: Colliot-Thélène, JL., Coste, M., Mahé, L., Roy, MF. (eds) Géométrie Algébrique Réelle et Formes Quadratiques. Lecture Notes in Mathematics, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062255

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  • DOI: https://doi.org/10.1007/BFb0062255

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11959-3

  • Online ISBN: 978-3-540-39548-5

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