Skip to main content
SpringerLink
Log in

On regular open semi-algebraic sets

  • Other Papers
  • Conference paper
  • First Online:
Real Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1524))

  • 843 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. E. Becker, On the real spectrum of a ring and its application to semi-algebraic geometry, Bull. A.M.S., Vol. 15, No. 1, (1986), 19–60.

    Article  MATH  Google Scholar 

  2. J. Bochnak, G. Efroymson, Real algebraic geometry and the 17th Hilbert problem, Math. Annalen 251 (1980), 213–242.

    Article  MathSciNet  MATH  Google Scholar 

  3. G. Brumfiel, Partially ordered rings and semi-algebraic geometry, Cambridge University Press, 1979.

    Google Scholar 

  4. G. Brumfiel, The ultrafilter theorem in real algebraic geometry, Rocky Mountain J. Math. 19 (1989), 611–628.

    Article  MathSciNet  MATH  Google Scholar 

  5. M. Coste, Ensembles semi-algébriques, Proc. Conf. on “Géométrie Algébrique Réele et Formes Quadratiqués”, Rennes 1981, Lecture Notes in Mathematics, vol. 959, Springen (1982), 109–138.

    Google Scholar 

  6. C. Delzell, A finiteness Theorem for open semi-algebraic sets with applications to Hilbert's 17th problem, Contemporary Math 8 (1982), 79–97.

    Article  MathSciNet  MATH  Google Scholar 

  7. L. v.d. Dries, Some applications of a model theoretic fact to (semi-)algebraic geometry, Indag. Math. 44 (1982), 397–401.

    Article  MathSciNet  MATH  Google Scholar 

  8. H. Hironaka, Triangulation of algebraic sets, Proc. Symp. in Pure Math. 29 (A.M.S. 1975), 165–185.

    Article  MathSciNet  Google Scholar 

  9. T.Y. Lam, An introduction to real algebra, Rocky Mountain J. Math 14 (1984), 767–814.

    Article  MathSciNet  MATH  Google Scholar 

  10. T. Recio, Una decomposición de un conjunto semi-algebráico, Actas del V Congresso de la Agrupacion de Matemáticos de Expresión Latina, Madrid (1978).

    Google Scholar 

  11. D. Sullivan, Combinatorial invariants of analytic spaces, Proc. of Liverpool Singularities Symposium I, Lecture Notes in Mathematics, vol. 192, Springer 1871, 165–168.

    Google Scholar 

Download references

Authors
  1. G. W. Brumfiel
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Michel Coste Louis Mahé Marie-Françoise Roy

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Brumfiel, G.W. (1992). On regular open semi-algebraic sets. In: Coste, M., Mahé, L., Roy, MF. (eds) Real Algebraic Geometry. Lecture Notes in Mathematics, vol 1524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084617

Download citation

  • DOI: https://doi.org/10.1007/BFb0084617

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55992-4

  • Online ISBN: 978-3-540-47337-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation