Skip to main content
SpringerLink
Log in

On the spectrum of a real representable ring

  • Chapter
  • First Online:
Applications of Sheaves

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 753))

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 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
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. Alexandroff, A.D.: Additive set functions in abstract spaces. Mat. Sbornik, 50, 30–348 (1940); 51, 563–628 (1941); 55, 169–238 (1943)

    MathSciNet  MATH  Google Scholar 

  2. Birkhoff, G., Pierce, R.S.: Lattice ordered rings. An. da Acad. Brasiliera de Ciencias, 28, 41–69 (1956)

    MathSciNet  MATH  Google Scholar 

  3. Engelking, R.: Outline of General Topology. Amsterdam: North Holland 1968

    MATH  Google Scholar 

  4. Gillman, L., Jerison, M.: Rings of Continuous Functions. Van Nostrand 1960

    Google Scholar 

  5. Hager, A.W.: Some nearly fine uniform spaces. Proc. London Math. Soc. (3), 28, 517–546 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hager, A.W.: Real-valued functions on Alexandroff (zero-set) spaces. Comment. Math. Univ. Carolinae, 16, 4 (1975)

    MathSciNet  MATH  Google Scholar 

  7. Hausdorff, F.: Set Theory. New York: Chelsea (Reprint) 1957

    Google Scholar 

  8. Henriksen, M., Isbell, J., Johnson, D.: Residue class fields of lattice ordered algebras. Fund. Math., 50, 107–117 (1961)

    MathSciNet  MATH  Google Scholar 

  9. Hewitt, E.: Rings of real-valued continuous functions, I. Trans. Amer. Math. Soc., 64, 54–99 (1948)

    MathSciNet  MATH  Google Scholar 

  10. Hewitt, E.: Linear functionals on spaces of continuous functions. Fund. Math., 37, 161–189 (1950)

    MathSciNet  MATH  Google Scholar 

  11. Isbell, J.: Uniform Spaces. Math. Surveys, No. 12. Providence: Amer. Math. Soc. 1964

    Google Scholar 

  12. Isbell, J.: Top and its adjoint relatives. In General Topology and its Applications to Modern Analysis and Algebra, III. New York, London: Academic Press 1971

    Google Scholar 

  13. Isbell, J.: Atomless parts of spaces. Math. Scand., 31, 5–32 (1972)

    MathSciNet  MATH  Google Scholar 

  14. Johnstone, P.: Topos Theory. Academic Press 1977

    Google Scholar 

  15. Linton, F.E.J.: Applied functorial semantics, I. Annali di Mathematica pure ed applicata (4), 86 (1970)

    Google Scholar 

  16. Linton, F.E.J.: Functorial measure theory. In Proceedings of Conference held at Univ. of California, Irvine, Thompson, (1967) 36–49

    MATH  Google Scholar 

  17. MacLane, S.: Categories for the Working Mathematician. New York, Heidelberg, Berlin: Springer 1971

    MATH  Google Scholar 

  18. Mazur, S.: On continuous mappings on cartesian products. Fund. Math., 39, 229–238 (1952) (1953)

    MathSciNet  MATH  Google Scholar 

  19. Reynolds, G.: Adequacy in topology and uniform spaces. In Lecture Notes in Mathematics, 378. Berlin and New York: Springer 1974

    MATH  Google Scholar 

  20. Reynolds, G.: A sharpened contravariant representation theorem. Comm. in Alg., 5, 821–827 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  21. Tierney, M.: On the spectrum of a ringed topos. In Algebra, Topology and Category Theory (ed. Heller, A., Tierney, M.). Academic Press 1976

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Union College, Schenectady, New York, USA

    George Reynolds

Authors
  1. George Reynolds
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Michael Fourman Christopher Mulvey Dana Scott

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this chapter

Cite this chapter

Reynolds, G. (1979). On the spectrum of a real representable ring. In: Fourman, M., Mulvey, C., Scott, D. (eds) Applications of Sheaves. Lecture Notes in Mathematics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061836

Download citation

  • DOI: https://doi.org/10.1007/BFb0061836

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09564-4

  • Online ISBN: 978-3-540-34849-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation