Skip to main content

Abstract

This chapter is devoted to the problem of approximating differentiable maps by analytic maps relatively to a fixed real analytic variety. This leads to give, among other things, a few relative versions of the classical Whitney approximation theorem.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. R. BENEDETTI, A. TOGNOLI, Teoremi di approssimazione in topologia differenziale I, Bollettino U.M.I. (5) 14-B (1977), 866–887.

    MathSciNet  Google Scholar 

  2. J. FRISCH, Fonctions analytiques sur un ensemble semianalytique, C.R. Acad. Sc. Paris, 260 (1965), A2974–A2976.

    MathSciNet  Google Scholar 

  3. J. FRISCH, Points de platitude dun morphisme d’espaces analytiques complexes, Inv. Math. 4 (1967), 118–138.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. GOLUBITSKY, V. GUILLEMIN, Stable mappings and their singularities, Grad. Texts in Math. 14, Springer-Verlag, New York-Heidelberg-Berlin 1973.

    Book  MATH  Google Scholar 

  5. F. GUARALDO, Approssimazione di funzioni su spazi analitici e spazi algebrici reali, Bollettino U.M.I. (6) 4-B (1985), 291–305.

    MathSciNet  Google Scholar 

  6. F. LALLERI, O. STĂNĂSILĂ, A. TOGNOLI, Some remarks on q-flat C ∞ -functions, Bollettino U.M.I. (4) 9-B (1974), 402–415.

    Google Scholar 

  7. B. MALGRANGE, Division des distribution, IV: Applications, Seminaire Schwartz (1959–60), 25–01.

    Google Scholar 

  8. R. NARASIMHAN, Analysis on real and complex manifolds, Masson and Cie, Paris 1968.

    MATH  Google Scholar 

  9. A. TOGNOLI, Un teorema di approssimazione relativo, Atti Accad. Naz. Lincei Rend. (8) 40 (1973), 496–502.

    MathSciNet  Google Scholar 

  10. A. TOGNOLI, Problèmes d’approximation pour espaces analytiques réels, Ann. Univ. Ferrara (7) 28 (1982), 55–66.

    MathSciNet  MATH  Google Scholar 

  11. J.C. TOUGERON, Idéaux de fonctions différentiables, Springer-Verlag, Berlin-Heidelberg-New York 1972.

    MATH  Google Scholar 

  12. H. WHITNEY, Differentiable manifolds, Ann. Math. 37 (1936), 645–680.

    Article  MathSciNet  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

About this chapter

Cite this chapter

Guaraldo, F., Macrì, P., Tancredi, A. (1986). Approximations. In: Topics on Real Analytic Spaces. Advanced Lectures in Mathematics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-84243-5_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-84243-5_7

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08963-4

  • Online ISBN: 978-3-322-84243-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics