Skip to main content

Proper subanalytic transformation groups and unique triangulation of the orbit spaces

  • Conference paper
  • First Online:
Transformation Groups Poznań 1985

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

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

References

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

    Book  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.

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Stefan Jackowski Krzysztof Pawałowski

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16824-9

  • Online ISBN: 978-3-540-47097-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics