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Piecewise linearization of subanalytic functions II

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Real Analytic and Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1420))

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References

  1. J. Bochnak-M. Coste-M.F. Roy, Géométrie algébrique réelle, Erg. d. Math., 3, Bd.12, Springer, 1987.

    Google Scholar 

  2. B. Giesecke, Simpliziable Zerlegung abzählbarer analytische Räume, Math. Zeit., 83(1964), 177–213.

    Article  MathSciNet  MATH  Google Scholar 

  3. R.M. Hardt, Triangulation of subanalytic sets and proper light subanalytic maps, Inv. Math., 38(1977), 207–217.

    Article  MathSciNet  MATH  Google Scholar 

  4. H. Hironaka, Triangulations of algebraic sets, Proc. Sympos. Pure Math., vol.29, Amer. Math. Soc., Providence, R. I., 1975, 165–185.

    Article  MathSciNet  MATH  Google Scholar 

  5. S. Łojasiewicz, Triangulation of semi-analytic sets, Ann. Scu. Norm., Pisa, 18(1964), 449–474.

    MathSciNet  MATH  Google Scholar 

  6. C.P. Rourke-B.J. Sanderson, Introduction to piecewise-linear topology, Erg. d. Math., Bd.69, Springer, 1976.

    Google Scholar 

  7. M. Shiota-M. Yokoi, Triangulations of subanalytic sets and locally subanalytic manifolds, Trans. Amer. Math. Soc., 286(1984), 727–750.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Shiota, Piecewise linearization of real-valued subanalytic functions, to appear in Trans. Amer. Math. Soc.

    Google Scholar 

  9. B. Teissier, Sur la triangulation des morphismes sous-analytiques preprint.

    Google Scholar 

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Margherita Galbiati Alberto Tognoli

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Dedicated to Professor Kenichi Shiraiwa on his 60th birthday

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© 1990 Springer-Verlag

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Shiota, M. (1990). Piecewise linearization of subanalytic functions II. In: Galbiati, M., Tognoli, A. (eds) Real Analytic and Algebraic Geometry. Lecture Notes in Mathematics, vol 1420. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083925

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  • DOI: https://doi.org/10.1007/BFb0083925

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52313-0

  • Online ISBN: 978-3-540-46952-0

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