Skip to main content
Log in

Subanalytic sets in the calculus of variation

  • Published:
Acta Mathematica

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Buchner, M. A., Simplicial structure of the real analytic cut locus.Proc. Amer. Math. Soc., 64 (1977), 118–121.

    Article  MATH  MathSciNet  Google Scholar 

  2. Frisch, J., Points de platitude d'un morphisme d'espace analytic complexes.Invent. Math., 4 (1967), 118–138.

    Article  MATH  MathSciNet  Google Scholar 

  3. Gabrielov, A. M., Formal relations between analytic functions.Izv. Akad. Nauk SSSR, 37 (1973), 1056–1090 (Russian). English translationAmer. Math. Soc. Transl., 7 (1973), 1056–1088.

    MATH  MathSciNet  Google Scholar 

  4. Hardt, R. M., Stratification of real analytic mappings and images.Invent. Math., 28 (1975), 193–208.

    Article  MATH  MathSciNet  Google Scholar 

  5. Hironaka, H., Subanalytic sets.Number theory, algebraic geometry and commutative algebra, in honor of Y. Akizuki. Kinokuniya, Tokyo, 1973.

    Google Scholar 

  6. Hironaka, H., Triangulation of algebraic sets.Algebraic geometry. Proc. Symp. Pure Mathematics 29. Arcata, 1974.

  7. Kobayashi, S. &Nomizu, K.,Foundations of differential geometry (I & II). Wiley-Interscience Publ., New York, 1962.

    Google Scholar 

  8. Lojasiewicz, S., Ensemble semi-analytiques.Lecture notes at I.H.E.S., Bures-sur-Yvettes; Reproduit No. A66.765, Ecole Polytechnique, Paris, 1965.

    Google Scholar 

  9. —, Triangulation of semi-analytic sets.Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat., 18 (1964), 449–474.

    MATH  MathSciNet  Google Scholar 

  10. Malgrange, B., Frobenius avec singularités, 2. Le cas général.Invent. Math., 39 (1977), 67–89.

    Article  MATH  MathSciNet  Google Scholar 

  11. Seidenberg, A., A new decision method for elementary algebra.Ann. of Math., 60 (1954), 365–374.

    Article  MATH  MathSciNet  Google Scholar 

  12. Sussman, H. J., Analytic stratifications and control theory.Proc. Int. Congr. of Mathematicians. Helsinki, 1978, 865–871.

  13. Tarski, R.,A decision method for elementary algebra and geometry. Berkely note, 1951.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tamm, M. Subanalytic sets in the calculus of variation. Acta Math 146, 167–199 (1981). https://doi.org/10.1007/BF02392462

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392462

Keywords

Navigation