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Extension of Whitney fields from subanalytic sets

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References

  1. Bierstone, E., Milman, P.: Extension and lifting ofC Whitney fields. L'Enseignement Math.23, 129–137 (1977)

    Google Scholar 

  2. Glaeser, G.: Fonctions composées différentiables. Ann. of Math.77, 193–209 (1963)

    Google Scholar 

  3. Hironaka, H.: Introduction to real-analytic sets and real-analytic maps. Istituto Matematico “L. Tonelli”, Pisa, Italy (1973)

    Google Scholar 

  4. Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II. Ann. of Math.79, 109–326 (1964)

    Google Scholar 

  5. Hironaka, H.: Subanalytic sets. Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Y. Akizuki, pp. 453–493. Tokyo: Kinokuniya 1973

    Google Scholar 

  6. Łojasiewicz, S.: Ensembles semi-analytiques. Inst. Hautes Études Sci., Bures-sur-Yvette, France (1964)

    Google Scholar 

  7. Łojasiewicz, S.: Sur le problème de la division. Studia Math.8, 87–136 (1959)

    Google Scholar 

  8. Łojasiewicz, S.: Whitney fields and the Malgrange-Mather preparation theorem, Proceedings of Liverpool Singularities Symposium I. Lecture Notes in Math. No. 192, pp. 106–115. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  9. Milman, P.: On the nonexistence of a projection from functions ofx to functions ofx n. Proc, Amer. Math. Soc.63, 87–90 (1977)

    Google Scholar 

  10. Mityagin, B.: Approximate dimension and bases in nuclear spaces. Russian Math. Surveys16, 59–128 (1961)

    Google Scholar 

  11. Seeley, R.T.: Extension ofC functions defined in a half space. Proc. Amer. Math. Soc.15, 625–626 (1964)

    Google Scholar 

  12. Stein, E.M.: Singular Integrals and Differentiability Properties of Functions. Princeton: University Press 1970

    Google Scholar 

  13. Tougeron, J.-Cl.: Idéaux de Fonctions Différentiables. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  14. Whitney, H.: Analytic extensions of differentiable functions defined in closed sets. Trans. Amer. Math. Soc.36, 63–89 (1934)

    Google Scholar 

  15. Zariski, O.: Exceptional singularities of an algebroid surface and their reduction. Rend. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Natur43, 135–146 (1967)

    Google Scholar 

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Partially supported by National Research Council (Canada) grant A9070

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Bierstone, E. Extension of Whitney fields from subanalytic sets. Invent Math 46, 277–300 (1978). https://doi.org/10.1007/BF01390279

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  • DOI: https://doi.org/10.1007/BF01390279

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