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Proper subanalytic transformation groups and unique triangulation of the orbit spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1217)

Keywords

  • Topological Space
  • Open Neighborhood
  • Transformation Group
  • Orbit Space
  • Analytic Manifold

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References

  1. C. G. Gibson et al. Topological stability of smooth mappings, Lecture Notes in Math., Springer, Berlin and New York, 552 (1976).

    CrossRef  Google Scholar 

  2. H. Hironaka, Subanalytic set, in Number theory, algebraic geometry and commutative algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo (1973), 453–493.

    Google Scholar 

  3. _____, Triangulations of algebraic sets, Proc. Symp. in Pure Math., Amer. Math. Soc., 29 (1975), 165–185.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. _____, Stratification and flatness, in Real and complex singularities, Oslo 1976, edited by Holm, Sijthoff & Noordhoff, Alphen aan den Rijn (1977), 199–265.

    Google Scholar 

  5. S. Illman, Smooth equivariant triangulations of G-manifold for G a finite group, Math. Ann., 233 (1978), 199–220.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. J. L. Koszul, Lectures on groups of transformations, Tata Inst., Bombay (1965).

    MATH  Google Scholar 

  7. T. Matumoto-M. Shiota, Unique triangulation of the orbit space of a differentiable transformation group and its application, (to appear in Advanced Studies in Pure Math. 9)

    Google Scholar 

  8. D. Montgomery-L. Zippin, Topological transformation groups, Wiley (Interscience), New York (1955).

    Google Scholar 

  9. R. S. Palais, On the existence of slices for actions of non-compact Lie groups, Ann. of Math., 73 (1961), 295–323.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. M. Shiota, Piecewise linearization of real analytic functions, Publ. Math. RIMS, Kyoto Univ., 20 (1984), 727–792.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. A. Verona, Stratified mappings-structure and triangulability, Lecture Notes in Math., Springer, Berlin-Heiderberg, 1102 (1984).

    MATH  Google Scholar 

  13. C. T. Yang, The triangulability of the orbit space of a differentiable transformation group, Bull. Amer. Math. Soc., 69 (1963), 405–408.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1986 Springer-Verlag

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Matumoto, T., Shiota, M. (1986). Proper subanalytic transformation groups and unique triangulation of the orbit spaces. In: Jackowski, S., Pawałowski, K. (eds) Transformation Groups Poznań 1985. Lecture Notes in Mathematics, vol 1217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072829

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  • DOI: https://doi.org/10.1007/BFb0072829

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16824-9

  • Online ISBN: 978-3-540-47097-7

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