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Analytic cycles on real analytic manifolds

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References

  1. Andradas, C., Bröcker, L., Ruiz, J.: Constructible Sets in Real Geometry. Berlin Heidelberg New York, Springer, 1996

  2. Atiyah, M., Hirzebruch, F.: Analytic cycles on complex manifolds. Topology 1, 25–45 (1961)

    Article  MATH  Google Scholar 

  3. Bass, H.: Algebraic K-theory. New York, Benjamin, 1968

  4. Bochnak, J., Coste, M., Roy, M.-F.: Real Algebraic Geometry. Berlin Heidelberg New York, Springer, 1998

  5. Bochnak, J., Kucharz, W.: Algebraic cycles and approximation theorems in real algebraic geometry. Trans. Am. Math. Soc. 337, 463–472 (1993)

    Google Scholar 

  6. Bochnak, J., Kucharz, W.: A topological proof of the Grothendieck formula in real algebraic geometry. L’Ens. Math. 48, 237–258 (2002)

    MATH  Google Scholar 

  7. Borel, A., Haefliger, A.: La classe d’homologie fondamentale d’un espace analytique. Bull. Soc. Math. France 89, 461–513 (1961)

    MATH  Google Scholar 

  8. Feldman, E.A.: The geometry of immersions I. Trans. Amer. Math. Soc. 120, 185–224 (1965)

    MATH  Google Scholar 

  9. Frisch, J.: Points de platitude d’un morphisme d’espaces analytiques complexes. Invent. Math. 4, 118–138 (1967)

    MATH  Google Scholar 

  10. Gibson, G., Wirthmüller, K., du Plessis, A.A., Looijenga, E.: Topological stability of smooth mappings. Lecture Notes in Math. Vol. 552, Springer, 1976

  11. Grauert, H.: On Levi’s problem and the imbedding of real manifolds. Ann. Math. 68(2), 460–472 (1958)

    MATH  Google Scholar 

  12. Hirsch, M.: Differential Topology. Berlin Heidelberg New York, Springer, 1976

  13. Husemoller, D.: Fibre bundles. Berlin Heidelberg New York, Springer, 1975

  14. Kunz, E.: Introduction to commutative algebra and algebraic geometry. Boston Basel, Birkhäuser 1985

  15. Lojasiewicz, S.: Ensembles semi-analytiques. Inst. Hautes Etudes Sci., Bures-sur-Yvette, 1964

  16. Narasimhan, R.: Analysis on real and complex manifolds. Amsterdam, North Holland Publ. Company, 1961

  17. Spanier, E.: Algebraic topology. Berlin Heidelberg New York, Springer

  18. Swan, R.: Vector bundles and projective modules. Trans. Am. Math. Soc. 105, 264–277 (1962)

    MATH  Google Scholar 

  19. Teichner, P.: 6-dimensional manifold without totally algebraic homology. Proc. Am. Math. Soc. 123, 2909–2914 (1995)

    Google Scholar 

  20. Thom, R.: Quelques propriétés globales des variétés différentiables. Comment. Math. Helv. 28, 17–86 (1954)

    MathSciNet  MATH  Google Scholar 

  21. Whitney, M., Bruhat, F.: Quelques propriétés fondamentales des ensembles analytiques réels. Comment. Math. Helv. 33, 132–160 (1959)

    Google Scholar 

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Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany

    J. Bochnak

  2. Department of Mathematics, Vrije Universiteit, De Boelelaan 1081a, 1081, HV Amsterdam, The Netherlands

    W. Kucharz

  3. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131-1141, USA

    W. Kucharz

Authors
  1. J. Bochnak
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  2. W. Kucharz
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Corresponding author

Correspondence to W. Kucharz.

Additional information

The paper was written at the Max-Planck-Institut für Mathematik in Bonn, whose support and hospitality are gratefully acknowledged. Both authors were partially supported by European grant RAAG 2002-2006.

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Bochnak, J., Kucharz, W. Analytic cycles on real analytic manifolds. Math. Ann. 329, 279–289 (2004). https://doi.org/10.1007/s00208-003-0470-5

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